1304420400 has 90 divisors (see below), whose sum is σ = 4526713620. Its totient is φ = 347844480.

The previous prime is 1304420363. The next prime is 1304420407. The reversal of 1304420400 is 40244031.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (1304420407) 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, 177570 + ... + 184769.

It is an arithmetic number, because the mean of its divisors is an integer number (50296818).

Almost surely, 2^1304420400 is an apocalyptic number.

1304420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304420400 is an abundant number, since it is smaller than the sum of its proper divisors (3222293220).

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

1304420400 is a wasteful number, since it uses less digits than its factorization.

1304420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362363 (or 362349 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1304420400 is about 36116.7606520851. The cubic root of 1304420400 is about 1092.6285074883.

Adding to 1304420400 its reverse (40244031), we get a palindrome (1344664431).

The spelling of 1304420400 in words is "one billion, three hundred four million, four hundred twenty thousand, four hundred".