49623264 has 72 divisors (see below), whose sum is σ = 143822952. Its totient is φ = 16224000.

The previous prime is 49623257. The next prime is 49623271. The reversal of 49623264 is 46232694.

49623264 is a `hidden beast` number, since 4 + 9 + 623 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (49623257) and next prime (49623271).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13639 + ... + 16889.

It is an arithmetic number, because the mean of its divisors is an integer number (1997541).

Almost surely, 2^49623264 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 49623264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71911476).

49623264 is an abundant number, since it is smaller than the sum of its proper divisors (94199688).

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

49623264 is a wasteful number, since it uses less digits than its factorization.

49623264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3309 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 49623264 is about 7044.3781840557. The cubic root of 49623264 is about 367.4755446728.

The spelling of 49623264 in words is "forty-nine million, six hundred twenty-three thousand, two hundred sixty-four".