625138416 has 180 divisors, whose sum is σ = 2128207536. Its totient is φ = 167224320.

The previous prime is 625138391. The next prime is 625138417. The reversal of 625138416 is 614831526.

It is a happy number.

625138416 is a `hidden beast` number, since 62 + 513 + 84 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625138417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3272881 + ... + 3273071.

Almost surely, 2^625138416 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 625138416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064103768).

625138416 is an abundant number, since it is smaller than the sum of its proper divisors (1503069120).

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

625138416 is a wasteful number, since it uses less digits than its factorization.

625138416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 220 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 625138416 is about 25002.7681667451. The cubic root of 625138416 is about 855.0510854877.

The spelling of 625138416 in words is "six hundred twenty-five million, one hundred thirty-eight thousand, four hundred sixteen".