462379008 has 192 divisors, whose sum is σ = 1519015680. Its totient is φ = 121798656.

The previous prime is 462378979. The next prime is 462379019. The reversal of 462379008 is 800973264.

It is a Cunningham number, because it is equal to 21503²-1.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558691 + ... + 559517.

It is an arithmetic number, because the mean of its divisors is an integer number (7911540).

Almost surely, 2^462379008 is an apocalyptic number.

462379008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759507840).

462379008 is an abundant number, since it is smaller than the sum of its proper divisors (1056636672).

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

462379008 is a wasteful number, since it uses less digits than its factorization.

462379008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 462379008 is about 21502.9999767474. Note that the first 4 decimals coincide. The cubic root of 462379008 is about 773.2727446256.

The spelling of 462379008 in words is "four hundred sixty-two million, three hundred seventy-nine thousand, eight".