403920480 has 96 divisors (see below), whose sum is σ = 1327705344. Its totient is φ = 103026176.

The previous prime is 403920469. The next prime is 403920499. The reversal of 403920480 is 84029304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7254 + ... + 29333.

It is an arithmetic number, because the mean of its divisors is an integer number (13830264).

Almost surely, 2^403920480 is an apocalyptic number.

403920480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403920480 is an abundant number, since it is smaller than the sum of its proper divisors (923784864).

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

403920480 is a wasteful number, since it uses less digits than its factorization.

403920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36628 (or 36620 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 403920480 is about 20097.7730109582. The cubic root of 403920480 is about 739.2056731073.

Adding to 403920480 its reverse (84029304), we get a palindrome (487949784).

The spelling of 403920480 in words is "four hundred three million, nine hundred twenty thousand, four hundred eighty".