425395200 has 264 divisors, whose sum is σ = 1462049280. Its totient is φ = 108953600.

The previous prime is 425395193. The next prime is 425395207. The reversal of 425395200 is 2593524.

It is an interprime number because it is at equal distance from previous prime (425395193) and next prime (425395207).

It is a super-2 number, since 2×425395200² = 361922152366080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (425395207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227105 + ... + 2227295.

Almost surely, 2^425395200 is an apocalyptic number.

425395200 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 425395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731024640).

425395200 is an abundant number, since it is smaller than the sum of its proper divisors (1036654080).

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

425395200 is a wasteful number, since it uses less digits than its factorization.

425395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 425395200 is about 20625.1109087927. The cubic root of 425395200 is about 752.0802690837.

The spelling of 425395200 in words is "four hundred twenty-five million, three hundred ninety-five thousand, two hundred".