46345478400 has 1215 divisors, whose sum is σ = 193974296439. Its totient is φ = 10912112640.

The previous prime is 46345478369. The next prime is 46345478411. The reversal of 46345478400 is 487454364.

The square root of 46345478400 is 215280.

It is a perfect power (a square), and thus also a powerful number.

46345478400 is a `hidden beast` number, since 4 + 63 + 4 + 547 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11945615616 + 34399862784 = 109296^2 + 185472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2015020789 + ... + 2015020811.

Almost surely, 2^46345478400 is an apocalyptic number.

46345478400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46345478400 is the 215280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46345478400

46345478400 is an abundant number, since it is smaller than the sum of its proper divisors (147628818039).

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

46345478400 is a wasteful number, since it uses less digits than its factorization.

46345478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 46345478400 in words is "forty-six billion, three hundred forty-five million, four hundred seventy-eight thousand, four hundred".