20874470400 has 891 divisors, whose sum is σ = 89011958841. Its totient is φ = 4660346880.

The previous prime is 20874470359. The next prime is 20874470417. The reversal of 20874470400 is 407447802.

The square root of 20874470400 is 144480.

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

20874470400 is a `hidden beast` number, since 208 + 7 + 4 + 47 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7514809344 + 13359661056 = 86688^2 + 115584^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 485452779 + ... + 485452821.

Almost surely, 2^20874470400 is an apocalyptic number.

20874470400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20874470400 is the 144480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20874470400

20874470400 is an abundant number, since it is smaller than the sum of its proper divisors (68137488441).

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

20874470400 is a wasteful number, since it uses less digits than its factorization.

20874470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

Multiplying 20874470400 by its sum of digits (36), we get a square (751480934400 = 866880²).

20874470400 divided by its sum of digits (36) gives a square (579846400 = 24080²).

20874470400 divided by its product of nonzero digits (50176) gives a square (416025 = 645²).

The spelling of 20874470400 in words is "twenty billion, eight hundred seventy-four million, four hundred seventy thousand, four hundred".