403861920 has 384 divisors, whose sum is σ = 1625702400. Its totient is φ = 83543040.

The previous prime is 403861901. The next prime is 403861999. The reversal of 403861920 is 29168304.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1810929 + ... + 1811151.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^403861920 is an apocalyptic number.

403861920 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 403861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

403861920 is an abundant number, since it is smaller than the sum of its proper divisors (1221840480).

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

403861920 is a wasteful number, since it uses less digits than its factorization.

403861920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 403861920 is about 20096.3160803168. The cubic root of 403861920 is about 739.1699482732.

The spelling of 403861920 in words is "four hundred three million, eight hundred sixty-one thousand, nine hundred twenty".