46405457280 has 896 divisors, whose sum is σ = 204902349120. Its totient is φ = 9782083584.

The previous prime is 46405457257. The next prime is 46405457321. The reversal of 46405457280 is 8275450464.

46405457280 is a `hidden beast` number, since 46 + 40 + 545 + 7 + 28 + 0 = 666.

46405457280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42456414 + ... + 42457506.

Almost surely, 2^46405457280 is an apocalyptic number.

46405457280 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 46405457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102451174560).

46405457280 is an abundant number, since it is smaller than the sum of its proper divisors (158496891840).

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

46405457280 is a wasteful number, since it uses less digits than its factorization.

46405457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 46405457280 in words is "forty-six billion, four hundred five million, four hundred fifty-seven thousand, two hundred eighty".