46914000 has 160 divisors (see below), whose sum is σ = 173012736. Its totient is φ = 10713600.

The previous prime is 46913987. The next prime is 46914001. The reversal of 46914000 is 41964.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46914001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41442 + ... + 42558.

Almost surely, 2^46914000 is an apocalyptic number.

46914000 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 46914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86506368).

46914000 is an abundant number, since it is smaller than the sum of its proper divisors (126098736).

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

46914000 is a wasteful number, since it uses less digits than its factorization.

46914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 46914000 is about 6849.3795339432. The cubic root of 46914000 is about 360.6623608277.

Adding to 46914000 its reverse (41964), we get a palindrome (46955964).

The spelling of 46914000 in words is "forty-six million, nine hundred fourteen thousand".