47621904 has 160 divisors (see below), whose sum is σ = 145704960. Its totient is φ = 13248000.

The previous prime is 47621897. The next prime is 47621939. The reversal of 47621904 is 40912674.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471454 + ... + 471554.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 2^47621904 is an apocalyptic number.

47621904 is a gapful number since it is divisible by the number (44) 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 47621904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72852480).

47621904 is an abundant number, since it is smaller than the sum of its proper divisors (98083056).

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

47621904 is a wasteful number, since it uses less digits than its factorization.

47621904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 47621904 is about 6900.8625547826. The cubic root of 47621904 is about 362.4673714588.

It can be divided in two parts, 4762 and 1904, that added together give a palindrome (6666).

The spelling of 47621904 in words is "forty-seven million, six hundred twenty-one thousand, nine hundred four".