9254632401 has 63 divisors (see below), whose sum is σ = 16172778891. Its totient is φ = 5277971664.

The previous prime is 9254632379. The next prime is 9254632433. The reversal of 9254632401 is 1042364529.

It is a happy number.

The square root of 9254632401 is 96201.

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

9254632401 is a `hidden beast` number, since 92 + 546 + 3 + 24 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7525736001 + 1728896400 = 86751^2 + 41580^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 9254632401 - 2¹⁵ = 9254599633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9254632201) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 18181735 + ... + 18182243.

Almost surely, 2^9254632401 is an apocalyptic number.

9254632401 is the 96201-st square number.

9254632401 is the 48101-st centered octagonal number.

It is an amenable number.

9254632401 is a deficient number, since it is larger than the sum of its proper divisors (6918146490).

9254632401 is an frugal number, since it uses more digits than its factorization.

9254632401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 9254632401 is about 2099.5185896485.

Multiplying 9254632401 by its sum of digits (36), we get a square (333166766436 = 577206²).

The spelling of 9254632401 in words is "nine billion, two hundred fifty-four million, six hundred thirty-two thousand, four hundred one".