464618025 has 45 divisors (see below), whose sum is σ = 862433671. Its totient is φ = 247278960.

The previous prime is 464618023. The next prime is 464618051. The reversal of 464618025 is 520816464.

The square root of 464618025 is 21555.

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

464618025 is a `hidden beast` number, since 4 + 646 + 1 + 8 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167262489 + 297355536 = 12933^2 + 17244^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 464618025 - 2¹ = 464618023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464618023) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 969736 + ... + 970214.

Almost surely, 2^464618025 is an apocalyptic number.

464618025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

464618025 is the 21555-th square number.

464618025 is the 10778-th centered octagonal number.

It is an amenable number.

464618025 is a deficient number, since it is larger than the sum of its proper divisors (397815646).

464618025 is an frugal number, since it uses more digits than its factorization.

464618025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 464618025 is about 774.5188966859.

Multiplying 464618025 by its sum of digits (36), we get a square (16726248900 = 129330²).

The spelling of 464618025 in words is "four hundred sixty-four million, six hundred eighteen thousand, twenty-five".