400093740 has 144 divisors (see below), whose sum is σ = 1274809536. Its totient is φ = 101376000.

The previous prime is 400093723. The next prime is 400093741. The reversal of 400093740 is 47390004.

400093740 = T₄₃₄ + T₄₃₅ + ... + T₁₃₅₃.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (400093741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997540 + ... + 997940.

It is an arithmetic number, because the mean of its divisors is an integer number (8852844).

Almost surely, 2^400093740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400093740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637404768).

400093740 is an abundant number, since it is smaller than the sum of its proper divisors (874715796).

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

400093740 is a wasteful number, since it uses less digits than its factorization.

400093740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 400093740 is about 20002.3433627163. The cubic root of 400093740 is about 736.8638520846.

The spelling of 400093740 in words is "four hundred million, ninety-three thousand, seven hundred forty".