40307400 has 216 divisors, whose sum is σ = 157810770. Its totient is φ = 9192960.

The previous prime is 40307389. The next prime is 40307411. The reversal of 40307400 is 470304.

It is an interprime number because it is at equal distance from previous prime (40307389) and next prime (40307411).

It can be written as a sum of positive squares in 3 ways, for example, as 36072036 + 4235364 = 6006^2 + 2058^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87972 + ... + 88428.

Almost surely, 2^40307400 is an apocalyptic number.

40307400 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 40307400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78905385).

40307400 is an abundant number, since it is smaller than the sum of its proper divisors (117503370).

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

40307400 is a wasteful number, since it uses less digits than its factorization.

40307400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 40307400 is about 6348.8109122890. The cubic root of 40307400 is about 342.8690323258.

Adding to 40307400 its reverse (470304), we get a palindrome (40777704).

The spelling of 40307400 in words is "forty million, three hundred seven thousand, four hundred".