425474400 has 216 divisors, whose sum is σ = 1501075800. Its totient is φ = 104632320.

The previous prime is 425474393. The next prime is 425474431. The reversal of 425474400 is 4474524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 405076 + ... + 406124.

It is an arithmetic number, because the mean of its divisors is an integer number (6949425).

Almost surely, 2^425474400 is an apocalyptic number.

425474400 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 425474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750537900).

425474400 is an abundant number, since it is smaller than the sum of its proper divisors (1075601400).

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

425474400 is a wasteful number, since it uses less digits than its factorization.

425474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 425474400 is about 20627.0308091107. The cubic root of 425474400 is about 752.1269402428.

It can be divided in two parts, 425 and 474400, that added together give a triangular number (474825 = T₉₇₄).

The spelling of 425474400 in words is "four hundred twenty-five million, four hundred seventy-four thousand, four hundred".