462251097 has 192 divisors, whose sum is σ = 965260800. Its totient is φ = 212889600.

The previous prime is 462251087. The next prime is 462251113. The reversal of 462251097 is 790152264.

It is not a de Polignac number, because 462251097 - 2⁴ = 462251081 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462251047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11274397 + ... + 11274437.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^462251097 is an apocalyptic number.

It is an amenable number.

462251097 is an abundant number, since it is smaller than the sum of its proper divisors (503009703).

462251097 is a wasteful number, since it uses less digits than its factorization.

462251097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 462251097 is about 21500.0255116128. The cubic root of 462251097 is about 773.2014328442.

The spelling of 462251097 in words is "four hundred sixty-two million, two hundred fifty-one thousand, ninety-seven".