403874640 has 320 divisors, whose sum is σ = 1579065600. Its totient is φ = 94058496.

The previous prime is 403874633. The next prime is 403874663. The reversal of 403874640 is 46478304.

403874640 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 7 + 4 + 640 = 666.

It is a super-2 number, since 2×403874640² = 326229449670259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 403874595 and 403874604.

It is a congruent number.

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, 533142 + ... + 533898.

It is an arithmetic number, because the mean of its divisors is an integer number (4934580).

Almost surely, 2^403874640 is an apocalyptic number.

403874640 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 403874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789532800).

403874640 is an abundant number, since it is smaller than the sum of its proper divisors (1175190960).

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

403874640 is a wasteful number, since it uses less digits than its factorization.

403874640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 403874640 is about 20096.6325537389. The cubic root of 403874640 is about 739.1777084693.

The spelling of 403874640 in words is "four hundred three million, eight hundred seventy-four thousand, six hundred forty".