407245440 has 256 divisors, whose sum is σ = 1500721920. Its totient is φ = 92012544.

The previous prime is 407245427. The next prime is 407245441. The reversal of 407245440 is 44542704.

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 = 407245398 and 407245407.

It is not an unprimeable number, because it can be changed into a prime (407245441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2109984 + ... + 2110176.

It is an arithmetic number, because the mean of its divisors is an integer number (5862195).

Almost surely, 2^407245440 is an apocalyptic number.

407245440 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 407245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750360960).

407245440 is an abundant number, since it is smaller than the sum of its proper divisors (1093476480).

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

407245440 is a wasteful number, since it uses less digits than its factorization.

407245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 407245440 is about 20180.3230895841. The cubic root of 407245440 is about 741.2284441197.

It can be divided in two parts, 40724 and 5440, that added together give a palindrome (46164).

The spelling of 407245440 in words is "four hundred seven million, two hundred forty-five thousand, four hundred forty".