427675600 has 180 divisors, whose sum is σ = 1168237728. Its totient is φ = 149184000.

The previous prime is 427675583. The next prime is 427675621. The reversal of 427675600 is 6576724.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 427675600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6023565 + ... + 6023635.

Almost surely, 2^427675600 is an apocalyptic number.

427675600 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 427675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584118864).

427675600 is an abundant number, since it is smaller than the sum of its proper divisors (740562128).

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

427675600 is a wasteful number, since it uses less digits than its factorization.

427675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 427675600 is about 20680.3191464735. The cubic root of 427675600 is about 753.4217576177.

It can be divided in two parts, 427675 and 600, that added together give a triangular number (428275 = T₉₂₅).

The spelling of 427675600 in words is "four hundred twenty-seven million, six hundred seventy-five thousand, six hundred".