47244902400 has 570 divisors, whose sum is σ = 176994048330. Its totient is φ = 12457082880.

The previous prime is 47244902323. The next prime is 47244902437. The reversal of 47244902400 is 420944274.

47244902400 is a `hidden beast` number, since 4 + 7 + 244 + 9 + 0 + 2 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 339738624 + 46905163776 = 18432^2 + 216576^2 .

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 29 ways as a sum of consecutive naturals, for example, 530841556 + ... + 530841644.

Almost surely, 2^47244902400 is an apocalyptic number.

47244902400 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 47244902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88497024165).

47244902400 is an abundant number, since it is smaller than the sum of its proper divisors (129749145930).

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

47244902400 is an frugal number, since it uses more digits than its factorization.

47244902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 99 counting only the distinct ones).

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

The spelling of 47244902400 in words is "forty-seven billion, two hundred forty-four million, nine hundred two thousand, four hundred".