46007000 has 64 divisors (see below), whose sum is σ = 115970400. Its totient is φ = 16982400.

The previous prime is 46006991. The next prime is 46007023. The reversal of 46007000 is 70064.

It is a self number, because there is not a number n which added to its sum of digits gives 46007000.

It is a congruent number.

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, 11231 + ... + 14769.

Almost surely, 2^46007000 is an apocalyptic number.

46007000 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 46007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57985200).

46007000 is an abundant number, since it is smaller than the sum of its proper divisors (69963400).

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

46007000 is a wasteful number, since it uses less digits than its factorization.

46007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 46007000 is about 6782.8460103411. The cubic root of 46007000 is about 358.3229610603.

Adding to 46007000 its reverse (70064), we get a palindrome (46077064).

The spelling of 46007000 in words is "forty-six million, seven thousand".