46434000 has 160 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 12096000.

The previous prime is 46433983. The next prime is 46434007. The reversal of 46434000 is 43464.

It is a super-2 number, since 2×46434000² = 4312232712000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46434007) 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, 425946 + ... + 426054.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^46434000 is an apocalyptic number.

46434000 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 46434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

46434000 is an abundant number, since it is smaller than the sum of its proper divisors (106770480).

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

46434000 is a wasteful number, since it uses less digits than its factorization.

46434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 46434000 is about 6814.2497752871. The cubic root of 46434000 is about 359.4281043138.

Adding to 46434000 its reverse (43464), we get a palindrome (46477464).

The spelling of 46434000 in words is "forty-six million, four hundred thirty-four thousand".