400464512448 has 672 divisors, whose sum is σ = 1456346884608. Its totient is φ = 95464857600.

The previous prime is 400464512339. The next prime is 400464512491. The reversal of 400464512448 is 844215464004.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265032013 + ... + 265033523.

It is an arithmetic number, because the mean of its divisors is an integer number (2167182864).

Almost surely, 2^400464512448 is an apocalyptic number.

400464512448 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 400464512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728173442304).

400464512448 is an abundant number, since it is smaller than the sum of its proper divisors (1055882372160).

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

400464512448 is a wasteful number, since it uses less digits than its factorization.

400464512448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 400464512448 in words is "four hundred billion, four hundred sixty-four million, five hundred twelve thousand, four hundred forty-eight".