207412920 has 512 divisors, whose sum is σ = 870912000. Its totient is φ = 43130880.

The previous prime is 207412897. The next prime is 207412957. The reversal of 207412920 is 29214702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2625441 + ... + 2625519.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^207412920 is an apocalyptic number.

207412920 is a gapful number since it is divisible by the number (20) 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 207412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

207412920 is an abundant number, since it is smaller than the sum of its proper divisors (663499080).

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

207412920 is a wasteful number, since it uses less digits than its factorization.

207412920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 207412920 is about 14401.8373827786. The cubic root of 207412920 is about 591.9412453864.

The spelling of 207412920 in words is "two hundred seven million, four hundred twelve thousand, nine hundred twenty".