469464480 has 144 divisors (see below), whose sum is σ = 1619045064. Its totient is φ = 123863040.

The previous prime is 469464467. The next prime is 469464491. The reversal of 469464480 is 84464964.

It can be written as a sum of positive squares in 4 ways, for example, as 411765264 + 57699216 = 20292^2 + 7596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138000 + ... + 141360.

Almost surely, 2^469464480 is an apocalyptic number.

469464480 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 469464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809522532).

469464480 is an abundant number, since it is smaller than the sum of its proper divisors (1149580584).

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

469464480 is a wasteful number, since it uses less digits than its factorization.

469464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 469464480 is about 21667.1290207078. The cubic root of 469464480 is about 777.2026026629.

The spelling of 469464480 in words is "four hundred sixty-nine million, four hundred sixty-four thousand, four hundred eighty".