402211296 has 144 divisors (see below), whose sum is σ = 1223468064. Its totient is φ = 124895232.

The previous prime is 402211283. The next prime is 402211309. The reversal of 402211296 is 692112204.

It is an interprime number because it is at equal distance from previous prime (402211283) and next prime (402211309).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552885 + ... + 553611.

It is an arithmetic number, because the mean of its divisors is an integer number (8496306).

Almost surely, 2^402211296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402211296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611734032).

402211296 is an abundant number, since it is smaller than the sum of its proper divisors (821256768).

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

402211296 is a wasteful number, since it uses less digits than its factorization.

402211296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 402211296 is about 20055.2062068681. The cubic root of 402211296 is about 738.1615527525.

The spelling of 402211296 in words is "four hundred two million, two hundred eleven thousand, two hundred ninety-six".