48406464 has 112 divisors (see below), whose sum is σ = 144170400. Its totient is φ = 15925248.

The previous prime is 48406441. The next prime is 48406499. The reversal of 48406464 is 46460484.

48406464 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 646 + 4 = 666.

48406464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188224 + ... + 188480.

Almost surely, 2^48406464 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 48406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72085200).

48406464 is an abundant number, since it is smaller than the sum of its proper divisors (95763936).

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

48406464 is a wasteful number, since it uses less digits than its factorization.

48406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 48406464 is about 6957.4754041966. The cubic root of 48406464 is about 364.4470616949.

The spelling of 48406464 in words is "forty-eight million, four hundred six thousand, four hundred sixty-four".