407000040 has 32 divisors (see below), whose sum is σ = 1221000480. Its totient is φ = 108533312.

The previous prime is 406999993. The next prime is 407000047. The reversal of 407000040 is 40000704.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 406999983 and 407000019.

It is not an unprimeable number, because it can be changed into a prime (407000047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1695714 + ... + 1695953.

It is an arithmetic number, because the mean of its divisors is an integer number (38156265).

Almost surely, 2^407000040 is an apocalyptic number.

407000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407000040 is an abundant number, since it is smaller than the sum of its proper divisors (814000440).

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

407000040 is a wasteful number, since it uses less digits than its factorization.

407000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391681 (or 3391677 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 407000040 is about 20174.2419931952. The cubic root of 407000040 is about 741.0795298199.

Adding to 407000040 its reverse (40000704), we get a palindrome (447000744).

The spelling of 407000040 in words is "four hundred seven million, forty", and thus it is an aban number.