46387202400 has 648 divisors, whose sum is σ = 207594072504. Its totient is φ = 9638092800.

The previous prime is 46387202399. The next prime is 46387202441. The reversal of 46387202400 is 420278364.

46387202400 is a `hidden beast` number, since 46 + 3 + 8 + 7 + 202 + 400 = 666.

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 107 ways as a sum of consecutive naturals, for example, 3874824 + ... + 3886776.

It is an arithmetic number, because the mean of its divisors is an integer number (320361223).

Almost surely, 2^46387202400 is an apocalyptic number.

46387202400 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 46387202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103797036252).

46387202400 is an abundant number, since it is smaller than the sum of its proper divisors (161206870104).

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

46387202400 is a wasteful number, since it uses less digits than its factorization.

46387202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 46387202400 in words is "forty-six billion, three hundred eighty-seven million, two hundred two thousand, four hundred".