462106240 has 64 divisors (see below), whose sum is σ = 1169733960. Its totient is φ = 173965312.

The previous prime is 462106237. The next prime is 462106259. The reversal of 462106240 is 42601264.

It can be written as a sum of positive squares in 4 ways, for example, as 356756544 + 105349696 = 18888^2 + 10264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10357 + ... + 32116.

Almost surely, 2^462106240 is an apocalyptic number.

462106240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462106240 is an abundant number, since it is smaller than the sum of its proper divisors (707627720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

462106240 is a wasteful number, since it uses less digits than its factorization.

462106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42509 (or 42497 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 462106240 is about 21496.6564842070. The cubic root of 462106240 is about 773.1206575958.

The spelling of 462106240 in words is "four hundred sixty-two million, one hundred six thousand, two hundred forty".