427576440 has 256 divisors, whose sum is σ = 1418342400. Its totient is φ = 102795264.

The previous prime is 427576433. The next prime is 427576453. The reversal of 427576440 is 44675724.

It is a super-2 number, since 2×427576440² = 365643224086147200, which contains 22 as substring.

It is a congruent number.

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, 5412321 + ... + 5412399.

It is an arithmetic number, because the mean of its divisors is an integer number (5540400).

Almost surely, 2^427576440 is an apocalyptic number.

427576440 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 427576440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709171200).

427576440 is an abundant number, since it is smaller than the sum of its proper divisors (990765960).

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

427576440 is a wasteful number, since it uses less digits than its factorization.

427576440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 427576440 is about 20677.9215589962. The cubic root of 427576440 is about 753.3635241683.

The spelling of 427576440 in words is "four hundred twenty-seven million, five hundred seventy-six thousand, four hundred forty".