407161300 has 144 divisors (see below), whose sum is σ = 1100679552. Its totient is φ = 127296000.

The previous prime is 407161291. The next prime is 407161303. The reversal of 407161300 is 3161704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407161303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918879 + ... + 919321.

It is an arithmetic number, because the mean of its divisors is an integer number (7643608).

Almost surely, 2^407161300 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 407161300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550339776).

407161300 is an abundant number, since it is smaller than the sum of its proper divisors (693518252).

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

407161300 is a wasteful number, since it uses less digits than its factorization.

407161300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 407161300 is about 20178.2382779072. The cubic root of 407161300 is about 741.1773927955.

The spelling of 407161300 in words is "four hundred seven million, one hundred sixty-one thousand, three hundred".