46451440 has 80 divisors (see below), whose sum is σ = 124724160. Its totient is φ = 15759360.

The previous prime is 46451413. The next prime is 46451459. The reversal of 46451440 is 4415464.

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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 46451399 and 46451408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60660 + ... + 61420.

It is an arithmetic number, because the mean of its divisors is an integer number (1559052).

Almost surely, 2^46451440 is an apocalyptic number.

46451440 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 46451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62362080).

46451440 is an abundant number, since it is smaller than the sum of its proper divisors (78272720).

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

46451440 is a wasteful number, since it uses less digits than its factorization.

46451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 46451440 is about 6815.5293264720. The cubic root of 46451440 is about 359.4730975050.

The spelling of 46451440 in words is "forty-six million, four hundred fifty-one thousand, four hundred forty".