407078040 has 96 divisors (see below), whose sum is σ = 1289029680. Its totient is φ = 102829824.

The previous prime is 407078029. The next prime is 407078047. The reversal of 407078040 is 40870704.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 407077989 and 407078007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407078047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38622 + ... + 48018.

Almost surely, 2^407078040 is an apocalyptic number.

407078040 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 407078040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644514840).

407078040 is an abundant number, since it is smaller than the sum of its proper divisors (881951640).

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

407078040 is a wasteful number, since it uses less digits than its factorization.

407078040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9449 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 407078040 is about 20176.1750587172. The cubic root of 407078040 is about 741.1268684811.

The spelling of 407078040 in words is "four hundred seven million, seventy-eight thousand, forty".