425630400 has 336 divisors, whose sum is σ = 1587398400. Its totient is φ = 98979840.

The previous prime is 425630399. The next prime is 425630441. The reversal of 425630400 is 4036524.

It is a super-2 number, since 2×425630400² = 362322474808320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185421 + ... + 1185779.

It is an arithmetic number, because the mean of its divisors is an integer number (4724400).

Almost surely, 2^425630400 is an apocalyptic number.

425630400 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 425630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

425630400 is an abundant number, since it is smaller than the sum of its proper divisors (1161768000).

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

425630400 is a wasteful number, since it uses less digits than its factorization.

425630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 425630400 is about 20630.8119084054. The cubic root of 425630400 is about 752.2188513470.

Adding to 425630400 its reverse (4036524), we get a palindrome (429666924).

The spelling of 425630400 in words is "four hundred twenty-five million, six hundred thirty thousand, four hundred".