47629000 has 32 divisors (see below), whose sum is σ = 111454200. Its totient is φ = 19051200.

The previous prime is 47628949. The next prime is 47629061. The reversal of 47629000 is 92674.

It can be written as a sum of positive squares in 4 ways, for example, as 10929636 + 36699364 = 3306^2 + 6058^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47629000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22815 + ... + 24814.

Almost surely, 2^47629000 is an apocalyptic number.

47629000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47629000 is an abundant number, since it is smaller than the sum of its proper divisors (63825200).

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

47629000 is a wasteful number, since it uses less digits than its factorization.

47629000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47650 (or 47636 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 47629000 is about 6901.3766742585. The cubic root of 47629000 is about 362.4853739640.

The spelling of 47629000 in words is "forty-seven million, six hundred twenty-nine thousand".