407749120 has 160 divisors (see below), whose sum is σ = 1051807680. Its totient is φ = 151142400.

The previous prime is 407749109. The next prime is 407749123. The reversal of 407749120 is 21947704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407749123) 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, 4037070 + ... + 4037170.

It is an arithmetic number, because the mean of its divisors is an integer number (6573798).

Almost surely, 2^407749120 is an apocalyptic number.

407749120 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 407749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525903840).

407749120 is an abundant number, since it is smaller than the sum of its proper divisors (644058560).

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

407749120 is a wasteful number, since it uses less digits than its factorization.

407749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 407749120 is about 20192.7987163741. The cubic root of 407749120 is about 741.5339013007.

It can be divided in two parts, 40774 and 9120, that added together give a palindrome (49894).

The spelling of 407749120 in words is "four hundred seven million, seven hundred forty-nine thousand, one hundred twenty".