49904640 has 264 divisors, whose sum is σ = 187177680. Its totient is φ = 12607488.

The previous prime is 49904609. The next prime is 49904651. The reversal of 49904640 is 4640994.

49904640 is a `hidden beast` number, since 4 + 9 + 9 + 0 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49904595 and 49904604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2626551 + ... + 2626569.

Almost surely, 2^49904640 is an apocalyptic number.

49904640 is a gapful number since it is divisible by the number (40) 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 49904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93588840).

49904640 is an abundant number, since it is smaller than the sum of its proper divisors (137273040).

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

49904640 is a wasteful number, since it uses less digits than its factorization.

49904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49904640 is about 7064.3216234823. The cubic root of 49904640 is about 368.1687946509.

The spelling of 49904640 in words is "forty-nine million, nine hundred four thousand, six hundred forty".