407161040 has 80 divisors (see below), whose sum is σ = 1112178816. Its totient is φ = 136665600.

The previous prime is 407161009. The next prime is 407161043. The reversal of 407161040 is 40161704.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×407161040² = 331560224987763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 407160997 and 407161015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407161043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6356 + ... + 29235.

Almost surely, 2^407161040 is an apocalyptic number.

407161040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407161040 is an abundant number, since it is smaller than the sum of its proper divisors (705017776).

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

407161040 is a wasteful number, since it uses less digits than its factorization.

407161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35628 (or 35622 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 407161040 is about 20178.2318353219. The cubic root of 407161040 is about 741.1772350315.

The spelling of 407161040 in words is "four hundred seven million, one hundred sixty-one thousand, forty".