402010400 has 108 divisors (see below), whose sum is σ = 1078997346. Its totient is φ = 146150400.

The previous prime is 402010391. The next prime is 402010403. The reversal of 402010400 is 4010204.

It can be written as a sum of positive squares in 3 ways, for example, as 166203664 + 235806736 = 12892^2 + 15356^2 .

It is a super-2 number, since 2×402010400² = 323224723416320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (402010403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94724 + ... + 98876.

Almost surely, 2^402010400 is an apocalyptic number.

402010400 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 402010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539498673).

402010400 is an abundant number, since it is smaller than the sum of its proper divisors (676986946).

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

402010400 is a wasteful number, since it uses less digits than its factorization.

402010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 402010400 is about 20050.1970065134. The cubic root of 402010400 is about 738.0386336123.

Adding to 402010400 its reverse (4010204), we get a palindrome (406020604).

The spelling of 402010400 in words is "four hundred two million, ten thousand, four hundred".