407115072 has 280 divisors, whose sum is σ = 1487033856. Its totient is φ = 107246592.

The previous prime is 407115067. The next prime is 407115073. The reversal of 407115072 is 270511704.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407115073) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471313 + ... + 472175.

Almost surely, 2^407115072 is an apocalyptic number.

407115072 is a gapful number since it is divisible by the number (42) 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 407115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743516928).

407115072 is an abundant number, since it is smaller than the sum of its proper divisors (1079918784).

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

407115072 is a wasteful number, since it uses less digits than its factorization.

407115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 407115072 is about 20177.0927539128. The cubic root of 407115072 is about 741.1493413039.

Adding to 407115072 its reverse (270511704), we get a palindrome (677626776).

The spelling of 407115072 in words is "four hundred seven million, one hundred fifteen thousand, seventy-two".