414625640 has 128 divisors (see below), whose sum is σ = 1104969600. Its totient is φ = 138040320.

The previous prime is 414625613. The next prime is 414625643. The reversal of 414625640 is 46526414.

It is a junction number, because it is equal to n+sod(n) for n = 414625597 and 414625606.

It is not an unprimeable number, because it can be changed into a prime (414625643) 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, 989351 + ... + 989769.

It is an arithmetic number, because the mean of its divisors is an integer number (8632575).

Almost surely, 2^414625640 is an apocalyptic number.

414625640 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 414625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552484800).

414625640 is an abundant number, since it is smaller than the sum of its proper divisors (690343960).

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

414625640 is a wasteful number, since it uses less digits than its factorization.

414625640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 414625640 is about 20362.3584095753. The cubic root of 414625640 is about 745.6792387941.

The spelling of 414625640 in words is "four hundred fourteen million, six hundred twenty-five thousand, six hundred forty".