4290923520 has 792 divisors, whose sum is σ = 17531326800. Its totient is φ = 966131712.

The previous prime is 4290923519. The next prime is 4290923521. The reversal of 4290923520 is 253290924.

4290923520 is a `hidden beast` number, since 42 + 9 + 0 + 92 + 3 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (4290923519) and next prime (4290923521).

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

It is not an unprimeable number, because it can be changed into a prime (4290923521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147962866 + ... + 147962894.

Almost surely, 2^4290923520 is an apocalyptic number.

4290923520 is a gapful number since it is divisible by the number (40) 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 4290923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8765663400).

4290923520 is an abundant number, since it is smaller than the sum of its proper divisors (13240403280).

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

4290923520 is a wasteful number, since it uses less digits than its factorization.

4290923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4290923520 is about 65505.1411722775. The cubic root of 4290923520 is about 1624.9883732501.

The spelling of 4290923520 in words is "four billion, two hundred ninety million, nine hundred twenty-three thousand, five hundred twenty".