403254120400 has 120 divisors (see below), whose sum is σ = 1008153732960. Its totient is φ = 154879710720.

The previous prime is 403254120383. The next prime is 403254120449. The reversal of 403254120400 is 4021452304.

It is a happy number.

It is a super-2 number, since 2×403254120400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 816114 + ... + 1213486.

It is an arithmetic number, because the mean of its divisors is an integer number (8401281108).

Almost surely, 2^403254120400 is an apocalyptic number.

403254120400 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 403254120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504076866480).

403254120400 is an abundant number, since it is smaller than the sum of its proper divisors (604899612560).

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

403254120400 is a wasteful number, since it uses less digits than its factorization.

403254120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397493 (or 397482 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 403254120400 its reverse (4021452304), we get a palindrome (407275572704).

The spelling of 403254120400 in words is "four hundred three billion, two hundred fifty-four million, one hundred twenty thousand, four hundred".