469087920 has 240 divisors, whose sum is σ = 1814621952. Its totient is φ = 106375680.

The previous prime is 469087907. The next prime is 469088047. The reversal of 469087920 is 29780964.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 821235 + ... + 821805.

Almost surely, 2^469087920 is an apocalyptic number.

469087920 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 469087920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907310976).

469087920 is an abundant number, since it is smaller than the sum of its proper divisors (1345534032).

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

469087920 is a wasteful number, since it uses less digits than its factorization.

469087920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 469087920 is about 21658.4376167811. The cubic root of 469087920 is about 776.9947476079.

The spelling of 469087920 in words is "four hundred sixty-nine million, eighty-seven thousand, nine hundred twenty".