469054080 has 288 divisors, whose sum is σ = 1782979380. Its totient is φ = 113541120.

The previous prime is 469054067. The next prime is 469054093. The reversal of 469054080 is 80450964.

It is an interprime number because it is at equal distance from previous prime (469054067) and next prime (469054093).

It can be written as a sum of positive squares in 2 ways, for example, as 457275456 + 11778624 = 21384^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696624 + ... + 697296.

Almost surely, 2^469054080 is an apocalyptic number.

469054080 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 469054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891489690).

469054080 is an abundant number, since it is smaller than the sum of its proper divisors (1313925300).

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

469054080 is a wasteful number, since it uses less digits than its factorization.

469054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 469054080 is about 21657.6563829053. The cubic root of 469054080 is about 776.9760630263.

The spelling of 469054080 in words is "four hundred sixty-nine million, fifty-four thousand, eighty".