403854600864 has 384 divisors, whose sum is σ = 1322781207552. Its totient is φ = 105993584640.

The previous prime is 403854600859. The next prime is 403854600883. The reversal of 403854600864 is 468006458304.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80978979 + ... + 80983965.

It is an arithmetic number, because the mean of its divisors is an integer number (3444742728).

Almost surely, 2^403854600864 is an apocalyptic number.

403854600864 is a gapful number since it is divisible by the number (44) 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 403854600864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661390603776).

403854600864 is an abundant number, since it is smaller than the sum of its proper divisors (918926606688).

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

403854600864 is a wasteful number, since it uses less digits than its factorization.

403854600864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 403854600864 in words is "four hundred three billion, eight hundred fifty-four million, six hundred thousand, eight hundred sixty-four".