427662400 has 189 divisors, whose sum is σ = 1181812597. Its totient is φ = 152204800.

The previous prime is 427662383. The next prime is 427662491. The reversal of 427662400 is 4266724.

The square root of 427662400 is 20680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 153958464 + 273703936 = 12408^2 + 16544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9099177 + ... + 9099223.

Almost surely, 2^427662400 is an apocalyptic number.

427662400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

427662400 is the 20680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427662400

427662400 is an abundant number, since it is smaller than the sum of its proper divisors (754150197).

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

427662400 is a wasteful number, since it uses less digits than its factorization.

427662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The cubic root of 427662400 is about 753.4140062056.

The spelling of 427662400 in words is "four hundred twenty-seven million, six hundred sixty-two thousand, four hundred".