403923240 has 384 divisors, whose sum is σ = 1624492800. Its totient is φ = 87436800.

The previous prime is 403923239. The next prime is 403923241. The reversal of 403923240 is 42329304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (403923239) and next prime (403923241).

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

It is not an unprimeable number, because it can be changed into a prime (403923241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3999190 + ... + 3999290.

It is an arithmetic number, because the mean of its divisors is an integer number (4230450).

Almost surely, 2^403923240 is an apocalyptic number.

403923240 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 403923240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812246400).

403923240 is an abundant number, since it is smaller than the sum of its proper divisors (1220569560).

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

403923240 is a wasteful number, since it uses less digits than its factorization.

403923240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 403923240 is about 20097.8416751650. The cubic root of 403923240 is about 739.2073567745.

The spelling of 403923240 in words is "four hundred three million, nine hundred twenty-three thousand, two hundred forty".