469056000 has 320 divisors, whose sum is σ = 1787385600. Its totient is φ = 106905600.

The previous prime is 469055987. The next prime is 469056041. The reversal of 469056000 is 650964.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×469056000² = 440027062272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343826 + ... + 1344174.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2^469056000 is an apocalyptic number.

469056000 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 469056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893692800).

469056000 is an abundant number, since it is smaller than the sum of its proper divisors (1318329600).

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

469056000 is an equidigital number, since it uses as much as digits as its factorization.

469056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 469056000 is about 21657.7007089857. The cubic root of 469056000 is about 776.9771231684.

The spelling of 469056000 in words is "four hundred sixty-nine million, fifty-six thousand".