407970 has 32 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 108720.

The previous prime is 407969. The next prime is 407971. The reversal of 407970 is 79704.

It is an interprime number because it is at equal distance from previous prime (407969) and next prime (407971).

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

It is not an unprimeable number, because it can be changed into a prime (407971) 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, 486 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁴⁰⁷⁹⁷⁰ is an apocalyptic number.

407970 is an abundant number, since it is smaller than the sum of its proper divisors (680670).

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

407970 is a wasteful number, since it uses less digits than its factorization.

407970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 407970 is about 638.7252930642. The cubic root of 407970 is about 74.1667774830.

The spelling of 407970 in words is "four hundred seven thousand, nine hundred seventy".