407493120 has 160 divisors (see below), whose sum is σ = 1318540608. Its totient is φ = 107347968.

The previous prime is 407493101. The next prime is 407493127. The reversal of 407493120 is 21394704.

It is a happy number.

407493120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (407493127) 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, 744687 + ... + 745233.

Almost surely, 2^407493120 is an apocalyptic number.

407493120 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 407493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659270304).

407493120 is an abundant number, since it is smaller than the sum of its proper divisors (911047488).

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

407493120 is an equidigital number, since it uses as much as digits as its factorization.

407493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 407493120 is about 20186.4588276399. The cubic root of 407493120 is about 741.3786813290.

The spelling of 407493120 in words is "four hundred seven million, four hundred ninety-three thousand, one hundred twenty".