402414240 has 48 divisors (see below), whose sum is σ = 1267606368. Its totient is φ = 107310336.

The previous prime is 402414239. The next prime is 402414247. The reversal of 402414240 is 42414204.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (402414247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418702 + ... + 419661.

It is an arithmetic number, because the mean of its divisors is an integer number (26408466).

Almost surely, 2^402414240 is an apocalyptic number.

402414240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402414240 is an abundant number, since it is smaller than the sum of its proper divisors (865192128).

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

402414240 is a wasteful number, since it uses less digits than its factorization.

402414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838381 (or 838373 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 402414240 is about 20060.2652026338. The cubic root of 402414240 is about 738.2856834195.

Adding to 402414240 its reverse (42414204), we get a palindrome (444828444).

The spelling of 402414240 in words is "four hundred two million, four hundred fourteen thousand, two hundred forty".