46077440 has 80 divisors (see below), whose sum is σ = 113430240. Its totient is φ = 17940480.

The previous prime is 46077403. The next prime is 46077523. The reversal of 46077440 is 4477064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 46077397 and 46077406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104741 + ... + 105179.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^46077440 is an apocalyptic number.

46077440 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 46077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715120).

46077440 is an abundant number, since it is smaller than the sum of its proper divisors (67352800).

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

46077440 is an equidigital number, since it uses as much as digits as its factorization.

46077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 46077440 is about 6788.0365349636. The cubic root of 46077440 is about 358.5057404835.

The spelling of 46077440 in words is "forty-six million, seventy-seven thousand, four hundred forty".