425610400 has 72 divisors (see below), whose sum is σ = 1084243104. Its totient is φ = 162835200.

The previous prime is 425610397. The next prime is 425610403. The reversal of 425610400 is 4016524.

It is an interprime number because it is at equal distance from previous prime (425610397) and next prime (425610403).

It is a super-2 number, since 2×425610400² = 362288425176320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425610403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6835 + ... + 29965.

It is an arithmetic number, because the mean of its divisors is an integer number (15058932).

Almost surely, 2^425610400 is an apocalyptic number.

425610400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542121552).

425610400 is an abundant number, since it is smaller than the sum of its proper divisors (658632704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425610400 is a wasteful number, since it uses less digits than its factorization.

425610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23174 (or 23161 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 425610400 is about 20630.3271908130. The cubic root of 425610400 is about 752.2070691272.

Adding to 425610400 its reverse (4016524), we get a palindrome (429626924).

The spelling of 425610400 in words is "four hundred twenty-five million, six hundred ten thousand, four hundred".