427572000 has 384 divisors, whose sum is σ = 1613364480. Its totient is φ = 109900800.

The previous prime is 427571971. The next prime is 427572017. The reversal of 427572000 is 275724.

It is a super-3 number, since 3×427572000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3995947 + ... + 3996053.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^427572000 is an apocalyptic number.

427572000 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 427572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

427572000 is an abundant number, since it is smaller than the sum of its proper divisors (1185792480).

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

427572000 is a wasteful number, since it uses less digits than its factorization.

427572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 427572000 is about 20677.8141978305. The cubic root of 427572000 is about 753.3609164899.

The spelling of 427572000 in words is "four hundred twenty-seven million, five hundred seventy-two thousand".