469956480 has 256 divisors, whose sum is σ = 1739059200. Its totient is φ = 105725952.

The previous prime is 469956479. The next prime is 469956481. The reversal of 469956480 is 84659964.

It is an interprime number because it is at equal distance from previous prime (469956479) and next prime (469956481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469956481) 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, 980881 + ... + 981359.

It is an arithmetic number, because the mean of its divisors is an integer number (6793200).

Almost surely, 2^469956480 is an apocalyptic number.

469956480 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 469956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869529600).

469956480 is an abundant number, since it is smaller than the sum of its proper divisors (1269102720).

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

469956480 is a wasteful number, since it uses less digits than its factorization.

469956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 469956480 is about 21678.4796514885. The cubic root of 469956480 is about 777.4740113245.

The spelling of 469956480 in words is "four hundred sixty-nine million, nine hundred fifty-six thousand, four hundred eighty".