46231430400 has 540 divisors, whose sum is σ = 172109803712. Its totient is φ = 12294789120.

The previous prime is 46231430321. The next prime is 46231430411. The reversal of 46231430400 is 403413264.

46231430400 is a `hidden beast` number, since 4 + 623 + 1 + 4 + 30 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125971017 + ... + 125971383.

Almost surely, 2^46231430400 is an apocalyptic number.

46231430400 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 46231430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86054901856).

46231430400 is an abundant number, since it is smaller than the sum of its proper divisors (125878373312).

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

46231430400 is an frugal number, since it uses more digits than its factorization.

46231430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 46231430400 its reverse (403413264), we get a palindrome (46634843664).

The spelling of 46231430400 in words is "forty-six billion, two hundred thirty-one million, four hundred thirty thousand, four hundred".