629970432 has 160 divisors (see below), whose sum is σ = 2066034432. Its totient is φ = 166109184.

The previous prime is 629970421. The next prime is 629970443. The reversal of 629970432 is 234079926.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (629970421) and next prime (629970443).

It is a super-3 number, since 3×629970432³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137523 + ... + 142029.

Almost surely, 2^629970432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033017216).

629970432 is an abundant number, since it is smaller than the sum of its proper divisors (1436064000).

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

629970432 is a wasteful number, since it uses less digits than its factorization.

629970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 629970432 is about 25099.2117804524. The cubic root of 629970432 is about 857.2484766355.

The spelling of 629970432 in words is "six hundred twenty-nine million, nine hundred seventy thousand, four hundred thirty-two".