926916480 has 512 divisors, whose sum is σ = 3838464000. Its totient is φ = 207028224.

The previous prime is 926916451. The next prime is 926916481. The reversal of 926916480 is 84619629.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (926916481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9555792 + ... + 9555888.

It is an arithmetic number, because the mean of its divisors is an integer number (7497000).

Almost surely, 2^926916480 is an apocalyptic number.

926916480 is a gapful number since it is divisible by the number (90) 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 926916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919232000).

926916480 is an abundant number, since it is smaller than the sum of its proper divisors (2911547520).

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

926916480 is a wasteful number, since it uses less digits than its factorization.

926916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 926916480 is about 30445.3030860263. The cubic root of 926916480 is about 975.0200232574.

The spelling of 926916480 in words is "nine hundred twenty-six million, nine hundred sixteen thousand, four hundred eighty".