49602260400 has 480 divisors, whose sum is σ = 199272960000. Its totient is φ = 10245964800.

The previous prime is 49602260399. The next prime is 49602260413. The reversal of 49602260400 is 406220694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16538101 + ... + 16541099.

It is an arithmetic number, because the mean of its divisors is an integer number (415152000).

Almost surely, 2^49602260400 is an apocalyptic number.

49602260400 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 49602260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480000).

49602260400 is an abundant number, since it is smaller than the sum of its proper divisors (149670699600).

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

49602260400 is a wasteful number, since it uses less digits than its factorization.

49602260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 49602260400 in words is "forty-nine billion, six hundred two million, two hundred sixty thousand, four hundred".