402101460 has 144 divisors (see below), whose sum is σ = 1257079824. Its totient is φ = 103993344.

The previous prime is 402101449. The next prime is 402101467. The reversal of 402101460 is 64101204.

It can be written as a sum of positive squares in 8 ways, for example, as 26749584 + 375351876 = 5172^2 + 19374^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402101467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077834 + ... + 1078206.

It is an arithmetic number, because the mean of its divisors is an integer number (8729721).

Almost surely, 2^402101460 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 402101460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628539912).

402101460 is an abundant number, since it is smaller than the sum of its proper divisors (854978364).

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

402101460 is a wasteful number, since it uses less digits than its factorization.

402101460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 402101460 is about 20052.4676785676. The cubic root of 402101460 is about 738.0943541644.

Adding to 402101460 its reverse (64101204), we get a palindrome (466202664).

The spelling of 402101460 in words is "four hundred two million, one hundred one thousand, four hundred sixty".