9472460400 has 180 divisors, whose sum is σ = 35400864408. Its totient is φ = 2331671040.

The previous prime is 9472460377. The next prime is 9472460441. The reversal of 9472460400 is 40642749.

9472460400 is a `hidden beast` number, since 9 + 4 + 7 + 246 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54402 + ... + 148001.

Almost surely, 2^9472460400 is an apocalyptic number.

9472460400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9472460400 is an abundant number, since it is smaller than the sum of its proper divisors (25928404008).

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

9472460400 is a wasteful number, since it uses less digits than its factorization.

9472460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202440 (or 202426 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 9472460400 is about 97326.5657464600. The cubic root of 9472460400 is about 2115.8632694790.

The spelling of 9472460400 in words is "nine billion, four hundred seventy-two million, four hundred sixty thousand, four hundred".