46996880400 has 480 divisors, whose sum is σ = 174902615040. Its totient is φ = 12121228800.

The previous prime is 46996880393. The next prime is 46996880471. The reversal of 46996880400 is 408869964.

46996880400 is a `hidden beast` number, since 469 + 9 + 68 + 80 + 40 + 0 = 666.

46996880400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27117934 + ... + 27119666.

It is an arithmetic number, because the mean of its divisors is an integer number (364380448).

Almost surely, 2^46996880400 is an apocalyptic number.

46996880400 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 46996880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87451307520).

46996880400 is an abundant number, since it is smaller than the sum of its proper divisors (127905734640).

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

46996880400 is a wasteful number, since it uses less digits than its factorization.

46996880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 46996880400 in words is "forty-six billion, nine hundred ninety-six million, eight hundred eighty thousand, four hundred".