46116000 has 384 divisors, whose sum is σ = 194987520. Its totient is φ = 10368000.

The previous prime is 46115969. The next prime is 46116011. The reversal of 46116000 is 61164.

46116000 is a `hidden beast` number, since 4 + 61 + 1 + 600 + 0 = 666.

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

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, 755970 + ... + 756030.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^46116000 is an apocalyptic number.

46116000 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 46116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

46116000 is an abundant number, since it is smaller than the sum of its proper divisors (148871520).

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

46116000 is a wasteful number, since it uses less digits than its factorization.

46116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 46116000 is about 6790.8762321220. The cubic root of 46116000 is about 358.6057180208.

Adding to 46116000 its reverse (61164), we get a palindrome (46177164).

It can be divided in two parts, 461 and 16000, that added together give a palindrome (16461).

The spelling of 46116000 in words is "forty-six million, one hundred sixteen thousand".