464916480 has 416 divisors, whose sum is σ = 1811718144. Its totient is φ = 99483648.

The previous prime is 464916469. The next prime is 464916481. The reversal of 464916480 is 84619464.

It is a super-2 number, since 2×464916480² = 432294666751180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464916481) 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, 9891817 + ... + 9891863.

Almost surely, 2^464916480 is an apocalyptic number.

464916480 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 464916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905859072).

464916480 is an abundant number, since it is smaller than the sum of its proper divisors (1346801664).

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

464916480 is a wasteful number, since it uses less digits than its factorization.

464916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 464916480 is about 21561.9219922529. The cubic root of 464916480 is about 774.6847028222.

The spelling of 464916480 in words is "four hundred sixty-four million, nine hundred sixteen thousand, four hundred eighty".