462424480 has 192 divisors, whose sum is σ = 1339027200. Its totient is φ = 147308544.

The previous prime is 462424471. The next prime is 462424481. The reversal of 462424480 is 84424264.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (462424481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2836879 + ... + 2837041.

It is an arithmetic number, because the mean of its divisors is an integer number (6974100).

Almost surely, 2^462424480 is an apocalyptic number.

462424480 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 462424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669513600).

462424480 is an abundant number, since it is smaller than the sum of its proper divisors (876602720).

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

462424480 is a wasteful number, since it uses less digits than its factorization.

462424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 462424480 is about 21504.0572915903. The cubic root of 462424480 is about 773.2980925941.

462424480 divided by its sum of digits (34) gives a triangular number (13600720 = T₅₂₁₅).

The spelling of 462424480 in words is "four hundred sixty-two million, four hundred twenty-four thousand, four hundred eighty".