403761240 has 128 divisors (see below), whose sum is σ = 1354276800. Its totient is φ = 106997760.

The previous prime is 403761233. The next prime is 403761277. The reversal of 403761240 is 42167304.

403761240 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 612 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185760 + ... + 187920.

Almost surely, 2^403761240 is an apocalyptic number.

403761240 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 403761240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677138400).

403761240 is an abundant number, since it is smaller than the sum of its proper divisors (950515560).

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

403761240 is a wasteful number, since it uses less digits than its factorization.

403761240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2344 counting only the distinct ones).

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

The square root of 403761240 is about 20093.8109874658. The cubic root of 403761240 is about 739.1085198397.

It can be divided in two parts, 40376 and 1240, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 403761240 in words is "four hundred three million, seven hundred sixty-one thousand, two hundred forty".