46162490400 has 864 divisors, whose sum is σ = 187743733632. Its totient is φ = 10583654400.

The previous prime is 46162490347. The next prime is 46162490453. The reversal of 46162490400 is 409426164.

46162490400 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 249 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (46162490347) and next prime (46162490453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88264539 + ... + 88265061.

It is an arithmetic number, because the mean of its divisors is an integer number (217295988).

Almost surely, 2^46162490400 is an apocalyptic number.

46162490400 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 46162490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93871866816).

46162490400 is an abundant number, since it is smaller than the sum of its proper divisors (141581243232).

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

46162490400 is a wasteful number, since it uses less digits than its factorization.

46162490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46162490400 in words is "forty-six billion, one hundred sixty-two million, four hundred ninety thousand, four hundred".