920415090 has 32 divisors (see below), whose sum is σ = 2524567680. Its totient is φ = 210380544.

The previous prime is 920415077. The next prime is 920415131. The reversal of 920415090 is 90514029.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2191255 + ... + 2191674.

It is an arithmetic number, because the mean of its divisors is an integer number (78892740).

Almost surely, 2^920415090 is an apocalyptic number.

920415090 is an abundant number, since it is smaller than the sum of its proper divisors (1604152590).

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

920415090 is a wasteful number, since it uses less digits than its factorization.

920415090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382946.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 920415090 is about 30338.3435605835. The cubic root of 920415090 is about 972.7350766518.

The spelling of 920415090 in words is "nine hundred twenty million, four hundred fifteen thousand, ninety".