49546400 has 36 divisors (see below), whose sum is σ = 120957102. Its totient is φ = 19818240.

The previous prime is 49546379. The next prime is 49546421. The reversal of 49546400 is 464594.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49546379) and next prime (49546421).

It can be written as a sum of positive squares in 3 ways, for example, as 35378704 + 14167696 = 5948^2 + 3764^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30167 + ... + 31766.

Almost surely, 2^49546400 is an apocalyptic number.

49546400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49546400 is an abundant number, since it is smaller than the sum of its proper divisors (71410702).

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

49546400 is a wasteful number, since it uses less digits than its factorization.

49546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61953 (or 61940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 49546400 is about 7038.9203717616. The cubic root of 49546400 is about 367.2857127657.

The spelling of 49546400 in words is "forty-nine million, five hundred forty-six thousand, four hundred".