46972499400 has 720 divisors, whose sum is σ = 176879155200. Its totient is φ = 11548293120.

The previous prime is 46972499393. The next prime is 46972499419. The reversal of 46972499400 is 499427964.

46972499400 is a `hidden beast` number, since 46 + 9 + 72 + 499 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 369862137 + ... + 369862263.

Almost surely, 2^46972499400 is an apocalyptic number.

46972499400 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 46972499400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88439577600).

46972499400 is an abundant number, since it is smaller than the sum of its proper divisors (129906655800).

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

46972499400 is a wasteful number, since it uses less digits than its factorization.

46972499400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 233 counting only the distinct ones).

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

The spelling of 46972499400 in words is "forty-six billion, nine hundred seventy-two million, four hundred ninety-nine thousand, four hundred".