40452960 has 96 divisors (see below), whose sum is σ = 129330432. Its totient is φ = 10626560.

The previous prime is 40452959. The next prime is 40452961. The reversal of 40452960 is 6925404.

It is an interprime number because it is at equal distance from previous prime (40452959) and next prime (40452961).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40452961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33487 + ... + 34673.

It is an arithmetic number, because the mean of its divisors is an integer number (1347192).

Almost surely, 2^40452960 is an apocalyptic number.

40452960 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 40452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64665216).

40452960 is an abundant number, since it is smaller than the sum of its proper divisors (88877472).

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

40452960 is a wasteful number, since it uses less digits than its factorization.

40452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 40452960 is about 6360.2641454581. The cubic root of 40452960 is about 343.2812648178.

The spelling of 40452960 in words is "forty million, four hundred fifty-two thousand, nine hundred sixty".