464359401 has 27 divisors (see below), whose sum is σ = 738391927. Its totient is φ = 280998960.

The previous prime is 464359381. The next prime is 464359439. The reversal of 464359401 is 104953464.

The square root of 464359401 is 21549.

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

464359401 is a `hidden beast` number, since 4 + 64 + 3 + 594 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 356303376 = 10395^2 + 18876^2 .

It is not a de Polignac number, because 464359401 - 2¹⁷ = 464228329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464359501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 710791 + ... + 711443.

Almost surely, 2^464359401 is an apocalyptic number.

464359401 is the 21549-th square number.

464359401 is the 10775-th centered octagonal number.

It is an amenable number.

464359401 is a deficient number, since it is larger than the sum of its proper divisors (274032526).

464359401 is an equidigital number, since it uses as much as digits as its factorization.

464359401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

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

The cubic root of 464359401 is about 774.3751611566.

Multiplying 464359401 by its sum of digits (36), we get a square (16716938436 = 129294²).

The spelling of 464359401 in words is "four hundred sixty-four million, three hundred fifty-nine thousand, four hundred one".