46020000 has 240 divisors, whose sum is σ = 165322080. Its totient is φ = 11136000.

The previous prime is 46019993. The next prime is 46020011. The reversal of 46020000 is 2064.

46020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-5 number, since 5×46020000⁵ (a number of 40 digits) contains 55555 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779971 + ... + 780029.

It is an arithmetic number, because the mean of its divisors is an integer number (688842).

Almost surely, 2^46020000 is an apocalyptic number.

46020000 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 46020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82661040).

46020000 is an abundant number, since it is smaller than the sum of its proper divisors (119302080).

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

46020000 is a wasteful number, since it uses less digits than its factorization.

46020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

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

The square root of 46020000 is about 6783.8042424587. The cubic root of 46020000 is about 358.3567078076.

Adding to 46020000 its reverse (2064), we get a palindrome (46022064).

The spelling of 46020000 in words is "forty-six million, twenty thousand".