50466400 has 72 divisors (see below), whose sum is σ = 124210800. Its totient is φ = 20021760.

The previous prime is 50466397. The next prime is 50466431. The reversal of 50466400 is 466405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 159042 + ... + 159358.

It is an arithmetic number, because the mean of its divisors is an integer number (1725150).

Almost surely, 2^50466400 is an apocalyptic number.

50466400 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 50466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62105400).

50466400 is an abundant number, since it is smaller than the sum of its proper divisors (73744400).

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

50466400 is a wasteful number, since it uses less digits than its factorization.

50466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 50466400 is about 7103.9707206604. The cubic root of 50466400 is about 369.5450946969.

The spelling of 50466400 in words is "fifty million, four hundred sixty-six thousand, four hundred".