462861408 has 24 divisors (see below), whose sum is σ = 1215011448. Its totient is φ = 154287104.

The previous prime is 462861401. The next prime is 462861437. The reversal of 462861408 is 804168264.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462861401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2410641 + ... + 2410832.

It is an arithmetic number, because the mean of its divisors is an integer number (50625477).

Almost surely, 2^462861408 is an apocalyptic number.

462861408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462861408 is an abundant number, since it is smaller than the sum of its proper divisors (752150040).

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

462861408 is a wasteful number, since it uses less digits than its factorization.

462861408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821486 (or 4821478 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 462861408 is about 21514.2140920834. The cubic root of 462861408 is about 773.5415696331.

The spelling of 462861408 in words is "four hundred sixty-two million, eight hundred sixty-one thousand, four hundred eight".