402417400 has 144 divisors (see below), whose sum is σ = 1187636040. Its totient is φ = 125395200.

The previous prime is 402417383. The next prime is 402417403. The reversal of 402417400 is 4714204.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402417403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105934 + ... + 109666.

Almost surely, 2^402417400 is an apocalyptic number.

402417400 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 402417400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593818020).

402417400 is an abundant number, since it is smaller than the sum of its proper divisors (785218640).

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

402417400 is a wasteful number, since it uses less digits than its factorization.

402417400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 402417400 is about 20060.3439651468. The cubic root of 402417400 is about 738.2876159030.

The spelling of 402417400 in words is "four hundred two million, four hundred seventeen thousand, four hundred".