49256400 has 60 divisors (see below), whose sum is σ = 157788512. Its totient is φ = 13134720.

The previous prime is 49256399. The next prime is 49256401. The reversal of 49256400 is 465294.

It is an interprime number because it is at equal distance from previous prime (49256399) and next prime (49256401).

It is a tau number, because it is divible by the number of its divisors (60).

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 (49256401) 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, 19324 + ... + 21723.

Almost surely, 2^49256400 is an apocalyptic number.

49256400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49256400 is an abundant number, since it is smaller than the sum of its proper divisors (108532112).

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

49256400 is a wasteful number, since it uses less digits than its factorization.

49256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41068 (or 41057 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 49256400 is about 7018.2903901164. The cubic root of 49256400 is about 366.5677235327.

It can be divided in two parts, 4925 and 6400, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 49256400 in words is "forty-nine million, two hundred fifty-six thousand, four hundred".