46749924900 has 432 divisors, whose sum is σ = 175441896000. Its totient is φ = 10648350720.

The previous prime is 46749924887. The next prime is 46749924901. The reversal of 46749924900 is 942994764.

46749924900 is a `hidden beast` number, since 4 + 67 + 4 + 9 + 92 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46749924901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59402307 + ... + 59403093.

It is an arithmetic number, because the mean of its divisors is an integer number (406115500).

Almost surely, 2^46749924900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46749924900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87720948000).

46749924900 is an abundant number, since it is smaller than the sum of its proper divisors (128691971100).

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

46749924900 is a wasteful number, since it uses less digits than its factorization.

46749924900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 46749924900 in words is "forty-six billion, seven hundred forty-nine million, nine hundred twenty-four thousand, nine hundred".