40460688 has 80 divisors (see below), whose sum is σ = 117819840. Its totient is φ = 13291776.

The previous prime is 40460687. The next prime is 40460711. The reversal of 40460688 is 88606404.

40460688 is a `hidden beast` number, since 40 + 4 + 606 + 8 + 8 = 666.

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 (40460681) 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, 30895 + ... + 32177.

It is an arithmetic number, because the mean of its divisors is an integer number (1472748).

Almost surely, 2^40460688 is an apocalyptic number.

40460688 is a gapful number since it is divisible by the number (48) 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 40460688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58909920).

40460688 is an abundant number, since it is smaller than the sum of its proper divisors (77359152).

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

40460688 is a wasteful number, since it uses less digits than its factorization.

40460688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40460688 is about 6360.8716383842. The cubic root of 40460688 is about 343.3031231994.

The spelling of 40460688 in words is "forty million, four hundred sixty thousand, six hundred eighty-eight".