46405632 has 192 divisors, whose sum is σ = 154103040. Its totient is φ = 12091392.

The previous prime is 46405621. The next prime is 46405661. The reversal of 46405632 is 23650464.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 46405632.

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, 559063 + ... + 559145.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^46405632 is an apocalyptic number.

46405632 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 46405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

46405632 is an abundant number, since it is smaller than the sum of its proper divisors (107697408).

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

46405632 is a wasteful number, since it uses less digits than its factorization.

46405632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 46405632 is about 6812.1679368612. The cubic root of 46405632 is about 359.3548940686.

The spelling of 46405632 in words is "forty-six million, four hundred five thousand, six hundred thirty-two".