46001088 has 112 divisors (see below), whose sum is σ = 154594560. Its totient is φ = 13139712.

The previous prime is 46001083. The next prime is 46001089. The reversal of 46001088 is 88010064.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×46001088² = 4232200194367488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46001083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10195 + ... + 13997.

Almost surely, 2^46001088 is an apocalyptic number.

46001088 is a gapful number since it is divisible by the number (48) 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 46001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77297280).

46001088 is an abundant number, since it is smaller than the sum of its proper divisors (108593472).

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

46001088 is a wasteful number, since it uses less digits than its factorization.

46001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 46001088 is about 6782.4101910751. The cubic root of 46001088 is about 358.3076119750.

The spelling of 46001088 in words is "forty-six million, one thousand, eighty-eight".