462253407 has 24 divisors (see below), whose sum is σ = 782145792. Its totient is φ = 240130800.

The previous prime is 462253387. The next prime is 462253487. The reversal of 462253407 is 704352264.

It is not a de Polignac number, because 462253407 - 2¹¹ = 462251359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462253487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141319 + ... + 144552.

It is an arithmetic number, because the mean of its divisors is an integer number (32589408).

Almost surely, 2^462253407 is an apocalyptic number.

462253407 is a deficient number, since it is larger than the sum of its proper divisors (319892385).

462253407 is a wasteful number, since it uses less digits than its factorization.

462253407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285899 (or 285892 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 462253407 is about 21500.0792324121. The cubic root of 462253407 is about 773.2027208111.

The spelling of 462253407 in words is "four hundred sixty-two million, two hundred fifty-three thousand, four hundred seven".