407400 has 96 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 92160.

The previous prime is 407383. The next prime is 407401. The reversal of 407400 is 4704.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 407400.

It is not an unprimeable number, because it can be changed into a prime (407401) by changing a digit.

407400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4152 + ... + 4248.

It is an arithmetic number, because the mean of its divisors is an integer number (15190).

2⁴⁰⁷⁴⁰⁰ is an apocalyptic number.

407400 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 407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120).

407400 is an abundant number, since it is smaller than the sum of its proper divisors (1050840).

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

407400 is a wasteful number, since it uses less digits than its factorization.

407400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 407400 is about 638.2789358893. The cubic root of 407400 is about 74.1322203940.

The spelling of 407400 in words is "four hundred seven thousand, four hundred", and thus it is an iban number.