40297600 has 144 divisors (see below), whose sum is σ = 116250930. Its totient is φ = 13762560.

The previous prime is 40297597. The next prime is 40297639. The reversal of 40297600 is 679204.

It can be written as a sum of positive squares in 3 ways, for example, as 38638656 + 1658944 = 6216^2 + 1288^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156672 + ... + 156928.

Almost surely, 2^40297600 is an apocalyptic number.

40297600 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 40297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58125465).

40297600 is an abundant number, since it is smaller than the sum of its proper divisors (75953330).

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

40297600 is a wasteful number, since it uses less digits than its factorization.

40297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 40297600 is about 6348.0390673026. The cubic root of 40297600 is about 342.8412426489.

The spelling of 40297600 in words is "forty million, two hundred ninety-seven thousand, six hundred".