4053470400 has 252 divisors, whose sum is σ = 16465541872. Its totient is φ = 926484480.

The previous prime is 4053470381. The next prime is 4053470401. The reversal of 4053470400 is 40743504.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4053470401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80694 + ... + 120906.

Almost surely, 2^4053470400 is an apocalyptic number.

4053470400 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 4053470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232770936).

4053470400 is an abundant number, since it is smaller than the sum of its proper divisors (12412071472).

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

4053470400 is a wasteful number, since it uses less digits than its factorization.

4053470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40248 (or 40230 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4053470400 is about 63666.8705057819. The cubic root of 4053470400 is about 1594.4430139517.

The spelling of 4053470400 in words is "four billion, fifty-three million, four hundred seventy thousand, four hundred".