461047790025 has 135 divisors (see below), whose sum is σ = 869519433783. Its totient is φ = 241508498400.

The previous prime is 461047790011. The next prime is 461047790069. The reversal of 461047790025 is 520097740164.

The square root of 461047790025 is 679005.

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

461047790025 is a `hidden beast` number, since 4 + 610 + 4 + 7 + 7 + 9 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165977204409 + 295070585616 = 407403^2 + 543204^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 461047790025 - 2⁹ = 461047789513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2413862680 + ... + 2413862870.

Almost surely, 2^461047790025 is an apocalyptic number.

461047790025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

461047790025 is the 679005-th square number.

461047790025 is the 339503-rd centered octagonal number.

It is an amenable number.

461047790025 is a deficient number, since it is larger than the sum of its proper divisors (408471643758).

461047790025 is an frugal number, since it uses more digits than its factorization.

461047790025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 461047790025 in words is "four hundred sixty-one billion, forty-seven million, seven hundred ninety thousand, twenty-five".