920405376 has 384 divisors, whose sum is σ = 3125606400. Its totient is φ = 266112000.

The previous prime is 920405363. The next prime is 920405383. The reversal of 920405376 is 673504029.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 920405376.

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 47 ways as a sum of consecutive naturals, for example, 12963421 + ... + 12963491.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2^920405376 is an apocalyptic number.

920405376 is a gapful number since it is divisible by the number (96) 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 920405376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562803200).

920405376 is an abundant number, since it is smaller than the sum of its proper divisors (2205201024).

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

920405376 is a wasteful number, since it uses less digits than its factorization.

920405376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 920405376 is about 30338.1834657252. The cubic root of 920405376 is about 972.7316545792.

The spelling of 920405376 in words is "nine hundred twenty million, four hundred five thousand, three hundred seventy-six".