407272761 has 45 divisors (see below), whose sum is σ = 707140005. Its totient is φ = 225219960.

The previous prime is 407272751. The next prime is 407272777. The reversal of 407272761 is 167272704.

It is a happy number.

The square root of 407272761 is 20181.

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

It is not a de Polignac number, because 407272761 - 2¹³ = 407264569 is a prime.

It is a super-2 number, since 2×407272761² = 331742203705126242, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (407272711) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13137816 + ... + 13137846.

Almost surely, 2^407272761 is an apocalyptic number.

407272761 is the 20181-st square number.

407272761 is the 10091-st centered octagonal number.

It is an amenable number.

407272761 is a deficient number, since it is larger than the sum of its proper divisors (299867244).

407272761 is an frugal number, since it uses more digits than its factorization.

407272761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The cubic root of 407272761 is about 741.2450194225.

Multiplying 407272761 by its sum of digits (36), we get a square (14661819396 = 121086²).

The spelling of 407272761 in words is "four hundred seven million, two hundred seventy-two thousand, seven hundred sixty-one".