46026000 has 120 divisors (see below), whose sum is σ = 160816344. Its totient is φ = 12268800.

The previous prime is 46025983. The next prime is 46026031. The reversal of 46026000 is 62064.

46026000 is a `hidden beast` number, since 4 + 60 + 2 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 43243776 = 1668^2 + 6576^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16722 + ... + 19278.

Almost surely, 2^46026000 is an apocalyptic number.

46026000 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 46026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80408172).

46026000 is an abundant number, since it is smaller than the sum of its proper divisors (114790344).

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

46026000 is a wasteful number, since it uses less digits than its factorization.

46026000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 46026000 is about 6784.2464577873. The cubic root of 46026000 is about 358.3722810860.

Adding to 46026000 its reverse (62064), we get a palindrome (46088064).

The spelling of 46026000 in words is "forty-six million, twenty-six thousand".