50782464 has 180 divisors, whose sum is σ = 158287360. Its totient is φ = 16174080.

The previous prime is 50782343. The next prime is 50782469. The reversal of 50782464 is 46428705.

It is a super-2 number, since 2×50782464² = 5157717299822592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (50782469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 642777 + ... + 642855.

Almost surely, 2^50782464 is an apocalyptic number.

50782464 is a gapful number since it is divisible by the number (54) 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 50782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79143680).

50782464 is an abundant number, since it is smaller than the sum of its proper divisors (107504896).

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

50782464 is an equidigital number, since it uses as much as digits as its factorization.

50782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 50782464 is about 7126.1815862354. The cubic root of 50782464 is about 370.3149594773.

The spelling of 50782464 in words is "fifty million, seven hundred eighty-two thousand, four hundred sixty-four".