1003961400 has 144 divisors (see below), whose sum is σ = 3370442760. Its totient is φ = 247104000.

The previous prime is 1003961327. The next prime is 1003961423. The reversal of 1003961400 is 41693001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96450 + ... + 106350.

Almost surely, 2^1003961400 is an apocalyptic number.

1003961400 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 1003961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685221380).

1003961400 is an abundant number, since it is smaller than the sum of its proper divisors (2366481360).

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

1003961400 is a wasteful number, since it uses less digits than its factorization.

1003961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1003961400 is about 31685.3499270562. The cubic root of 1003961400 is about 1001.3187268617.

The spelling of 1003961400 in words is "one billion, three million, nine hundred sixty-one thousand, four hundred".