425388600 has 576 divisors, whose sum is σ = 1828008000. Its totient is φ = 88058880.

The previous prime is 425388589. The next prime is 425388629. The reversal of 425388600 is 6883524.

425388600 is a `hidden beast` number, since 42 + 5 + 3 + 8 + 8 + 600 = 666.

It is a super-2 number, since 2×425388600² = 361910922019920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8026174 + ... + 8026226.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2^425388600 is an apocalyptic number.

425388600 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 425388600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914004000).

425388600 is an abundant number, since it is smaller than the sum of its proper divisors (1402619400).

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

425388600 is a wasteful number, since it uses less digits than its factorization.

425388600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 425388600 is about 20624.9509090325. The cubic root of 425388600 is about 752.0763795590.

The spelling of 425388600 in words is "four hundred twenty-five million, three hundred eighty-eight thousand, six hundred".