407441640 has 32 divisors (see below), whose sum is σ = 1222325280. Its totient is φ = 108651072.

The previous prime is 407441621. The next prime is 407441647. The reversal of 407441640 is 46144704.

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 = 407441598 and 407441607.

It is not an unprimeable number, because it can be changed into a prime (407441647) 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, 1697554 + ... + 1697793.

It is an arithmetic number, because the mean of its divisors is an integer number (38197665).

Almost surely, 2^407441640 is an apocalyptic number.

407441640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407441640 is an abundant number, since it is smaller than the sum of its proper divisors (814883640).

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

407441640 is a wasteful number, since it uses less digits than its factorization.

407441640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395361 (or 3395357 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 407441640 is about 20185.1836751613. The cubic root of 407441640 is about 741.3474597125.

The spelling of 407441640 in words is "four hundred seven million, four hundred forty-one thousand, six hundred forty".