49610400 has 144 divisors (see below), whose sum is σ = 184613184. Its totient is φ = 11335680.

The previous prime is 49610383. The next prime is 49610413. The reversal of 49610400 is 401694.

It is a super-2 number, since 2×49610400² = 4922383576320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15324 + ... + 18276.

It is an arithmetic number, because the mean of its divisors is an integer number (1282036).

Almost surely, 2^49610400 is an apocalyptic number.

49610400 is a gapful number since it is divisible by the number (40) 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 49610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92306592).

49610400 is an abundant number, since it is smaller than the sum of its proper divisors (135002784).

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

49610400 is a wasteful number, since it uses less digits than its factorization.

49610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 49610400 is about 7043.4650563483. The cubic root of 49610400 is about 367.4437879686.

The spelling of 49610400 in words is "forty-nine million, six hundred ten thousand, four hundred".