462472901 has 16 divisors (see below), whose sum is σ = 531988800. Its totient is φ = 397612800.

The previous prime is 462472867. The next prime is 462472909. The reversal of 462472901 is 109274264.

It is a cyclic number.

It is not a de Polignac number, because 462472901 - 2¹⁴ = 462456517 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462472909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146621 + ... + 149741.

It is an arithmetic number, because the mean of its divisors is an integer number (33249300).

Almost surely, 2^462472901 is an apocalyptic number.

It is an amenable number.

462472901 is a deficient number, since it is larger than the sum of its proper divisors (69515899).

462472901 is a wasteful number, since it uses less digits than its factorization.

462472901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 462472901 is about 21505.1831194250. The cubic root of 462472901 is about 773.3250826301.

The spelling of 462472901 in words is "four hundred sixty-two million, four hundred seventy-two thousand, nine hundred one".