469920360 has 256 divisors, whose sum is σ = 1811496960. Its totient is φ = 94786560.

The previous prime is 469920329. The next prime is 469920371. The reversal of 469920360 is 63029964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250225 + ... + 252095.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2^469920360 is an apocalyptic number.

469920360 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 469920360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905748480).

469920360 is an abundant number, since it is smaller than the sum of its proper divisors (1341576600).

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

469920360 is a wasteful number, since it uses less digits than its factorization.

469920360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 469920360 is about 21677.6465512288. The cubic root of 469920360 is about 777.4540924015.

The spelling of 469920360 in words is "four hundred sixty-nine million, nine hundred twenty thousand, three hundred sixty".