427690032 has 240 divisors, whose sum is σ = 1430337024. Its totient is φ = 108864000.

The previous prime is 427690031. The next prime is 427690033. The reversal of 427690032 is 230096724.

It is an interprime number because it is at equal distance from previous prime (427690031) and next prime (427690033).

It is a super-2 number, since 2×427690032² = 365837526944322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 427689975 and 427690002.

It is not an unprimeable number, because it can be changed into a prime (427690031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578057 + ... + 1578327.

Almost surely, 2^427690032 is an apocalyptic number.

427690032 is a gapful number since it is divisible by the number (42) 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 427690032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715168512).

427690032 is an abundant number, since it is smaller than the sum of its proper divisors (1002646992).

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

427690032 is a wasteful number, since it uses less digits than its factorization.

427690032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 427690032 is about 20680.6680743152. The cubic root of 427690032 is about 753.4302323125.

The spelling of 427690032 in words is "four hundred twenty-seven million, six hundred ninety thousand, thirty-two".