407245620 has 96 divisors (see below), whose sum is σ = 1229719680. Its totient is φ = 100362240.

The previous prime is 407245603. The next prime is 407245621. The reversal of 407245620 is 26542704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407245621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42384 + ... + 51096.

It is an arithmetic number, because the mean of its divisors is an integer number (12809580).

Almost surely, 2^407245620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407245620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614859840).

407245620 is an abundant number, since it is smaller than the sum of its proper divisors (822474060).

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

407245620 is a wasteful number, since it uses less digits than its factorization.

407245620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 407245620 is about 20180.3275493734. The cubic root of 407245620 is about 741.2285533258.

The spelling of 407245620 in words is "four hundred seven million, two hundred forty-five thousand, six hundred twenty".