462090480 has 80 divisors (see below), whose sum is σ = 1435086720. Its totient is φ = 123000064.

The previous prime is 462090463. The next prime is 462090527. The reversal of 462090480 is 84090264.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×462090480² = 427055223413260800, which contains 22 as substring.

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, 162511 + ... + 165329.

It is an arithmetic number, because the mean of its divisors is an integer number (17938584).

Almost surely, 2^462090480 is an apocalyptic number.

462090480 is a gapful number since it is divisible by the number (40) 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 462090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717543360).

462090480 is an abundant number, since it is smaller than the sum of its proper divisors (972996240).

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

462090480 is a wasteful number, since it uses less digits than its factorization.

462090480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 462090480 is about 21496.2899124477. The cubic root of 462090480 is about 773.1118684769. Note that the first 3 decimals are identical.

The spelling of 462090480 in words is "four hundred sixty-two million, ninety thousand, four hundred eighty".