427505400 has 432 divisors, whose sum is σ = 1728338040. Its totient is φ = 94348800.

The previous prime is 427505399. The next prime is 427505411. The reversal of 427505400 is 4505724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3263335 + ... + 3263465.

Almost surely, 2^427505400 is an apocalyptic number.

427505400 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 427505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864169020).

427505400 is an abundant number, since it is smaller than the sum of its proper divisors (1300832640).

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

427505400 is a wasteful number, since it uses less digits than its factorization.

427505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 427505400 is about 20676.2037134480. The cubic root of 427505400 is about 753.3217991464.

The spelling of 427505400 in words is "four hundred twenty-seven million, five hundred five thousand, four hundred".