46002000 has 320 divisors, whose sum is σ = 175488768. Its totient is φ = 10240000.

The previous prime is 46001993. The next prime is 46002013. The reversal of 46002000 is 20064.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121980 + ... + 1122020.

Almost surely, 2^46002000 is an apocalyptic number.

46002000 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 46002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

46002000 is an abundant number, since it is smaller than the sum of its proper divisors (129486768).

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

46002000 is a wasteful number, since it uses less digits than its factorization.

46002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 46002000 is about 6782.4774234788. The cubic root of 46002000 is about 358.3099798493.

Adding to 46002000 its reverse (20064), we get a palindrome (46022064).

The spelling of 46002000 in words is "forty-six million, two thousand", and thus it is an eban number.