5407017000 has 512 divisors, whose sum is σ = 21349785600. Its totient is φ = 1106688000.

The previous prime is 5407016981. The next prime is 5407017041. The reversal of 5407017000 is 7107045.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 20558869 + ... + 20559131.

It is an arithmetic number, because the mean of its divisors is an integer number (41698800).

Almost surely, 2^5407017000 is an apocalyptic number.

5407017000 is a gapful number since it is divisible by the number (50) 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 5407017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10674892800).

5407017000 is an abundant number, since it is smaller than the sum of its proper divisors (15942768600).

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

5407017000 is a wasteful number, since it uses less digits than its factorization.

5407017000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 5407017000 is about 73532.4214207583. The cubic root of 5407017000 is about 1755.1702337284.

The spelling of 5407017000 in words is "five billion, four hundred seven million, seventeen thousand".