427429624 has 32 divisors (see below), whose sum is σ = 866422800. Its totient is φ = 196992000.

The previous prime is 427429621. The next prime is 427429679. The reversal of 427429624 is 426924724.

It is a happy number.

It is a super-3 number, since 3×427429624³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427429621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32377 + ... + 43624.

Almost surely, 2^427429624 is an apocalyptic number.

It is an amenable number.

427429624 is an abundant number, since it is smaller than the sum of its proper divisors (438993176).

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

427429624 is a wasteful number, since it uses less digits than its factorization.

427429624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76063 (or 76059 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 427429624 is about 20674.3711875355. The cubic root of 427429624 is about 753.2772873611.

The spelling of 427429624 in words is "four hundred twenty-seven million, four hundred twenty-nine thousand, six hundred twenty-four".