46992000 has 256 divisors, whose sum is σ = 171849600. Its totient is φ = 11264000.

The previous prime is 46991993. The next prime is 46992007. The reversal of 46992000 is 29964.

It is an interprime number because it is at equal distance from previous prime (46991993) and next prime (46992007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46992007) 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, 527956 + ... + 528044.

Almost surely, 2^46992000 is an apocalyptic number.

46992000 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 46992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

46992000 is an abundant number, since it is smaller than the sum of its proper divisors (124857600).

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

46992000 is a wasteful number, since it uses less digits than its factorization.

46992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 46992000 is about 6855.0711156049. The cubic root of 46992000 is about 360.8621312431.

The spelling of 46992000 in words is "forty-six million, nine hundred ninety-two thousand".