40306464 has 96 divisors (see below), whose sum is σ = 128278080. Its totient is φ = 12211200.

The previous prime is 40306459. The next prime is 40306471. The reversal of 40306464 is 46460304.

It is a happy number.

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

It is a super-2 number, since 2×40306464² = 3249222080366592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7384 + ... + 11624.

It is an arithmetic number, because the mean of its divisors is an integer number (1336230).

Almost surely, 2^40306464 is an apocalyptic number.

40306464 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 40306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64139040).

40306464 is an abundant number, since it is smaller than the sum of its proper divisors (87971616).

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

40306464 is a wasteful number, since it uses less digits than its factorization.

40306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40306464 is about 6348.7371972700. The cubic root of 40306464 is about 342.8663783227.

Adding to 40306464 its reverse (46460304), we get a palindrome (86766768).

The spelling of 40306464 in words is "forty million, three hundred six thousand, four hundred sixty-four".