427613400 has 72 divisors (see below), whose sum is σ = 1436074380. Its totient is φ = 114029760.

The previous prime is 427613399. The next prime is 427613437. The reversal of 427613400 is 4316724.

427613400 is a `hidden beast` number, since 4 + 2 + 7 + 613 + 40 + 0 = 666.

427613400 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116982 + ... + 120581.

Almost surely, 2^427613400 is an apocalyptic number.

427613400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427613400 is an abundant number, since it is smaller than the sum of its proper divisors (1008460980).

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

427613400 is a wasteful number, since it uses less digits than its factorization.

427613400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237585 (or 237573 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 427613400 is about 20678.8152465271. The cubic root of 427613400 is about 753.3852306291.

The spelling of 427613400 in words is "four hundred twenty-seven million, six hundred thirteen thousand, four hundred".