1047600400 has 360 divisors, whose sum is σ = 3297137184. Its totient is φ = 316108800.

The previous prime is 1047600349. The next prime is 1047600439. The reversal of 1047600400 is 40067401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9270744 + ... + 9270856.

Almost surely, 2^1047600400 is an apocalyptic number.

1047600400 is a gapful number since it is divisible by the number (10) 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 1047600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648568592).

1047600400 is an abundant number, since it is smaller than the sum of its proper divisors (2249536784).

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

1047600400 is a wasteful number, since it uses less digits than its factorization.

1047600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1047600400 is about 32366.6556814262. The cubic root of 1047600400 is about 1015.6214980865.

Adding to 1047600400 its reverse (40067401), we get a palindrome (1087667801).

The spelling of 1047600400 in words is "one billion, forty-seven million, six hundred thousand, four hundred".