427204800 has 672 divisors, whose sum is σ = 1814169600. Its totient is φ = 96768000.

The previous prime is 427204787. The next prime is 427204807. The reversal of 427204800 is 8402724.

It is a super-2 number, since 2×427204800² = 365007882286080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (427204807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13780785 + ... + 13780815.

Almost surely, 2^427204800 is an apocalyptic number.

427204800 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 427204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

427204800 is an abundant number, since it is smaller than the sum of its proper divisors (1386964800).

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

427204800 is a wasteful number, since it uses less digits than its factorization.

427204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 427204800 is about 20668.9332090459. The cubic root of 427204800 is about 753.1451919197.

The spelling of 427204800 in words is "four hundred twenty-seven million, two hundred four thousand, eight hundred".