415470900 has 72 divisors (see below), whose sum is σ = 1294576864. Its totient is φ = 102268800.

The previous prime is 415470883. The next prime is 415470947. The reversal of 415470900 is 9074514.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49366 + ... + 57165.

Almost surely, 2^415470900 is an apocalyptic number.

It is an amenable number.

415470900 is an abundant number, since it is smaller than the sum of its proper divisors (879105964).

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

415470900 is a wasteful number, since it uses less digits than its factorization.

415470900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106561 (or 106554 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 415470900 is about 20383.1032966033. The cubic root of 415470900 is about 746.1856112499.

The spelling of 415470900 in words is "four hundred fifteen million, four hundred seventy thousand, nine hundred".