469578240 has 240 divisors, whose sum is σ = 1651735800. Its totient is φ = 123273216.

The previous prime is 469578223. The next prime is 469578253. The reversal of 469578240 is 42875964.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 408363264 + 61214976 = 20208^2 + 7824^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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, 2050446 + ... + 2050674.

Almost surely, 2^469578240 is an apocalyptic number.

469578240 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 469578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825867900).

469578240 is an abundant number, since it is smaller than the sum of its proper divisors (1182157560).

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

469578240 is a wasteful number, since it uses less digits than its factorization.

469578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 469578240 is about 21669.7540364444. The cubic root of 469578240 is about 777.2653744886.

The spelling of 469578240 in words is "four hundred sixty-nine million, five hundred seventy-eight thousand, two hundred forty".