403146720 has 144 divisors (see below), whose sum is σ = 1426829040. Its totient is φ = 107495424.

The previous prime is 403146713. The next prime is 403146761. The reversal of 403146720 is 27641304.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33696 + ... + 44064.

It is an arithmetic number, because the mean of its divisors is an integer number (9908535).

Almost surely, 2^403146720 is an apocalyptic number.

403146720 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 403146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713414520).

403146720 is an abundant number, since it is smaller than the sum of its proper divisors (1023682320).

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

403146720 is a wasteful number, since it uses less digits than its factorization.

403146720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 403146720 is about 20078.5138892299. The cubic root of 403146720 is about 738.7333578667.

The spelling of 403146720 in words is "four hundred three million, one hundred forty-six thousand, seven hundred twenty".