1000420400 has 60 divisors (see below), whose sum is σ = 2746876272. Its totient is φ = 343000320.

The previous prime is 1000420387. The next prime is 1000420409. The reversal of 1000420400 is 40240001.

It is not an unprimeable number, because it can be changed into a prime (1000420409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175847 + ... + 181446.

Almost surely, 2^1000420400 is an apocalyptic number.

1000420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000420400 is an abundant number, since it is smaller than the sum of its proper divisors (1746455872).

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

1000420400 is a wasteful number, since it uses less digits than its factorization.

1000420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357318 (or 357307 counting only the distinct ones).

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

The square root of 1000420400 is about 31629.4230108613. The cubic root of 1000420400 is about 1000.1401137006.

Adding to 1000420400 its reverse (40240001), we get a palindrome (1040660401).

The spelling of 1000420400 in words is "one billion, four hundred twenty thousand, four hundred".