407740474000 has 80 divisors (see below), whose sum is σ = 988561482480. Its totient is φ = 162658636800.

The previous prime is 407740473991. The next prime is 407740474021. The reversal of 407740474000 is 474047704.

It can be written as a sum of positive squares in 8 ways, for example, as 76554035856 + 331186438144 = 276684^2 + 575488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 472716 + ... + 1019284.

It is an arithmetic number, because the mean of its divisors is an integer number (12357018531).

Almost surely, 2^407740474000 is an apocalyptic number.

407740474000 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 407740474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494280741240).

407740474000 is an abundant number, since it is smaller than the sum of its proper divisors (580821008480).

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

407740474000 is a wasteful number, since it uses less digits than its factorization.

407740474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546965 (or 546949 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 37.

The spelling of 407740474000 in words is "four hundred seven billion, seven hundred forty million, four hundred seventy-four thousand".