407772140 has 48 divisors (see below), whose sum is σ = 887061504. Its totient is φ = 157291200.

The previous prime is 407772067. The next prime is 407772151. The reversal of 407772140 is 41277704.

It is a junction number, because it is equal to n+sod(n) for n = 407772097 and 407772106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204227 + ... + 206213.

It is an arithmetic number, because the mean of its divisors is an integer number (18480448).

Almost surely, 2^407772140 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 407772140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443530752).

407772140 is an abundant number, since it is smaller than the sum of its proper divisors (479289364).

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

407772140 is a wasteful number, since it uses less digits than its factorization.

407772140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 407772140 is about 20193.3687135158. The cubic root of 407772140 is about 741.5478557876.

The spelling of 407772140 in words is "four hundred seven million, seven hundred seventy-two thousand, one hundred forty".