462435480 has 160 divisors (see below), whose sum is σ = 1674010800. Its totient is φ = 113819904.

The previous prime is 462435473. The next prime is 462435481. The reversal of 462435480 is 84534264.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462435481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36631 + ... + 47609.

Almost surely, 2^462435480 is an apocalyptic number.

462435480 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 462435480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837005400).

462435480 is an abundant number, since it is smaller than the sum of its proper divisors (1211575320).

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

462435480 is a wasteful number, since it uses less digits than its factorization.

462435480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11015 (or 11002 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 462435480 is about 21504.3130557570. The cubic root of 462435480 is about 773.3042241983.

It can be divided in two parts, 4624 and 35480, that added together give a palindrome (40104).

The spelling of 462435480 in words is "four hundred sixty-two million, four hundred thirty-five thousand, four hundred eighty".