40730400 has 108 divisors (see below), whose sum is σ = 143650962. Its totient is φ = 10859520.

The previous prime is 40730399. The next prime is 40730411. The reversal of 40730400 is 403704.

It can be written as a sum of positive squares in 3 ways, for example, as 21123216 + 19607184 = 4596^2 + 4428^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4372 + ... + 10028.

Almost surely, 2^40730400 is an apocalyptic number.

40730400 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 40730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71825481).

40730400 is an abundant number, since it is smaller than the sum of its proper divisors (102920562).

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

40730400 is a wasteful number, since it uses less digits than its factorization.

40730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5667 counting only the distinct ones).

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

The square root of 40730400 is about 6382.0372922759. The cubic root of 40730400 is about 344.0642569707.

The spelling of 40730400 in words is "forty million, seven hundred thirty thousand, four hundred".