403465920 has 224 divisors, whose sum is σ = 1505468160. Its totient is φ = 90255360.

The previous prime is 403465903. The next prime is 403465943. The reversal of 403465920 is 29564304.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 135811 + ... + 138749.

It is an arithmetic number, because the mean of its divisors is an integer number (6720840).

Almost surely, 2^403465920 is an apocalyptic number.

403465920 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 403465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752734080).

403465920 is an abundant number, since it is smaller than the sum of its proper divisors (1102002240).

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

403465920 is a wasteful number, since it uses less digits than its factorization.

403465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 403465920 is about 20086.4611119032. The cubic root of 403465920 is about 738.9282757211.

The spelling of 403465920 in words is "four hundred three million, four hundred sixty-five thousand, nine hundred twenty".