48626400 has 72 divisors (see below), whose sum is σ = 158286744. Its totient is φ = 12966400.

The previous prime is 48626381. The next prime is 48626407. The reversal of 48626400 is 462684.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48626407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7731 + ... + 12530.

It is an arithmetic number, because the mean of its divisors is an integer number (2198427).

Almost surely, 2^48626400 is an apocalyptic number.

48626400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48626400 is an abundant number, since it is smaller than the sum of its proper divisors (109660344).

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

48626400 is a wasteful number, since it uses less digits than its factorization.

48626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20284 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 48626400 is about 6973.2632246316. The cubic root of 48626400 is about 364.9981860171.

The spelling of 48626400 in words is "forty-eight million, six hundred twenty-six thousand, four hundred".