40920264 has 192 divisors, whose sum is σ = 141598080. Its totient is φ = 10454400.

The previous prime is 40920259. The next prime is 40920283. The reversal of 40920264 is 46202904.

40920264 = 392² + 393² + ... + 567².

40920264 = 54³ + 55³ + ... + 114³.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670794 + ... + 670854.

It is an arithmetic number, because the mean of its divisors is an integer number (737490).

Almost surely, 2^40920264 is an apocalyptic number.

40920264 is a gapful number since it is divisible by the number (44) 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 40920264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70799040).

40920264 is an abundant number, since it is smaller than the sum of its proper divisors (100677816).

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

40920264 is a wasteful number, since it uses less digits than its factorization.

40920264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40920264 is about 6396.8948717327. The cubic root of 40920264 is about 344.5980447863.

The spelling of 40920264 in words is "forty million, nine hundred twenty thousand, two hundred sixty-four".