407272833 has 64 divisors (see below), whose sum is σ = 678128640. Its totient is φ = 239500800.

The previous prime is 407272819. The next prime is 407272861. The reversal of 407272833 is 338272704.

It is not a de Polignac number, because 407272833 - 2⁹ = 407272321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407272883) 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 63 ways as a sum of consecutive naturals, for example, 1930098 + ... + 1930308.

It is an arithmetic number, because the mean of its divisors is an integer number (10595760).

Almost surely, 2^407272833 is an apocalyptic number.

It is an amenable number.

407272833 is a deficient number, since it is larger than the sum of its proper divisors (270855807).

407272833 is a wasteful number, since it uses less digits than its factorization.

407272833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 407272833 is about 20181.0017838560. The cubic root of 407272833 is about 741.2450631030.

The spelling of 407272833 in words is "four hundred seven million, two hundred seventy-two thousand, eight hundred thirty-three".