415042800 has 60 divisors (see below), whose sum is σ = 1329524280. Its totient is φ = 110677760.

The previous prime is 415042799. The next prime is 415042829. The reversal of 415042800 is 8240514.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171735 + ... + 174134.

It is an arithmetic number, because the mean of its divisors is an integer number (22158738).

Almost surely, 2^415042800 is an apocalyptic number.

415042800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415042800 is an abundant number, since it is smaller than the sum of its proper divisors (914481480).

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

415042800 is a wasteful number, since it uses less digits than its factorization.

415042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345890 (or 345879 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 415042800 is about 20372.5992450644. The cubic root of 415042800 is about 745.9292340159.

The spelling of 415042800 in words is "four hundred fifteen million, forty-two thousand, eight hundred".