469486080 has 480 divisors, whose sum is σ = 1930376448. Its totient is φ = 103219200.

The previous prime is 469486079. The next prime is 469486099. The reversal of 469486080 is 80684964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 6612445 + ... + 6612515.

Almost surely, 2^469486080 is an apocalyptic number.

469486080 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 469486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965188224).

469486080 is an abundant number, since it is smaller than the sum of its proper divisors (1460890368).

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

469486080 is a wasteful number, since it uses less digits than its factorization.

469486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 469486080 is about 21667.6274658764. The cubic root of 469486080 is about 777.2145221438.

The spelling of 469486080 in words is "four hundred sixty-nine million, four hundred eighty-six thousand, eighty".