49757400 has 288 divisors, whose sum is σ = 208915200. Its totient is φ = 10310400.

The previous prime is 49757327. The next prime is 49757423. The reversal of 49757400 is 475794.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138421 + ... + 138779.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^49757400 is an apocalyptic number.

49757400 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 49757400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

49757400 is an abundant number, since it is smaller than the sum of its proper divisors (159157800).

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

49757400 is a wasteful number, since it uses less digits than its factorization.

49757400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 49757400 is about 7053.8925424194. The cubic root of 49757400 is about 367.8063529068.

The spelling of 49757400 in words is "forty-nine million, seven hundred fifty-seven thousand, four hundred".