926449920 has 288 divisors, whose sum is σ = 3587955840. Its totient is φ = 224501760.

The previous prime is 926449903. The next prime is 926449991. The reversal of 926449920 is 29944629.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378942 + ... + 381378.

It is an arithmetic number, because the mean of its divisors is an integer number (12458180).

Almost surely, 2^926449920 is an apocalyptic number.

926449920 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 926449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793977920).

926449920 is an abundant number, since it is smaller than the sum of its proper divisors (2661505920).

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

926449920 is a wasteful number, since it uses less digits than its factorization.

926449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 926449920 is about 30437.6398559415. The cubic root of 926449920 is about 974.8564048883.

It can be divided in two parts, 926449 and 920, that added together give a square (927369 = 963²).

The spelling of 926449920 in words is "nine hundred twenty-six million, four hundred forty-nine thousand, nine hundred twenty".