50632400 has 180 divisors, whose sum is σ = 151945632. Its totient is φ = 15874560.

The previous prime is 50632339. The next prime is 50632403. The reversal of 50632400 is 423605.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50632403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473147 + ... + 473253.

Almost surely, 2^50632400 is an apocalyptic number.

50632400 is a gapful number since it is divisible by the number (50) 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 50632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75972816).

50632400 is an abundant number, since it is smaller than the sum of its proper divisors (101313232).

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

50632400 is a wasteful number, since it uses less digits than its factorization.

50632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 50632400 is about 7115.6447353701. The cubic root of 50632400 is about 369.9498349325.

The spelling of 50632400 in words is "fifty million, six hundred thirty-two thousand, four hundred".