40465920 has 160 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 9789440.

The previous prime is 40465913. The next prime is 40465921. The reversal of 40465920 is 2956404.

It is a tau number, because it is divible by the number of its divisors (160).

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 (40465921) 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, 84241 + ... + 84719.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^40465920 is an apocalyptic number.

40465920 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 40465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

40465920 is an abundant number, since it is smaller than the sum of its proper divisors (100953600).

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

40465920 is a wasteful number, since it uses less digits than its factorization.

40465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 500 counting only the distinct ones).

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

The square root of 40465920 is about 6361.2828894807. The cubic root of 40465920 is about 343.3179201510.

The spelling of 40465920 in words is "forty million, four hundred sixty-five thousand, nine hundred twenty".