427534920 has 96 divisors (see below), whose sum is σ = 1395196920. Its totient is φ = 113541120.

The previous prime is 427534897. The next prime is 427534937. The reversal of 427534920 is 29435724.

It can be written as a sum of positive squares in 4 ways, for example, as 411035076 + 16499844 = 20274^2 + 4062^2 .

It is a super-2 number, since 2×427534920² = 365572215638812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 90210 + ... + 94830.

Almost surely, 2^427534920 is an apocalyptic number.

427534920 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 427534920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697598460).

427534920 is an abundant number, since it is smaller than the sum of its proper divisors (967662000).

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

427534920 is a wasteful number, since it uses less digits than its factorization.

427534920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 427534920 is about 20676.9175652465. The cubic root of 427534920 is about 753.3391381459.

The spelling of 427534920 in words is "four hundred twenty-seven million, five hundred thirty-four thousand, nine hundred twenty".