427929600 has 312 divisors, whose sum is σ = 1625094400. Its totient is φ = 97320960.

The previous prime is 427929599. The next prime is 427929613. The reversal of 427929600 is 6929724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2150301 + ... + 2150499.

Almost surely, 2^427929600 is an apocalyptic number.

427929600 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 427929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812547200).

427929600 is an abundant number, since it is smaller than the sum of its proper divisors (1197164800).

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

427929600 is a wasteful number, since it uses less digits than its factorization.

427929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 427929600 is about 20686.4593393843. The cubic root of 427929600 is about 753.5708825259.

The spelling of 427929600 in words is "four hundred twenty-seven million, nine hundred twenty-nine thousand, six hundred".