1358780400 has 120 divisors (see below), whose sum is σ = 4836290160. Its totient is φ = 362338560.

The previous prime is 1358780399. The next prime is 1358780411. The reversal of 1358780400 is 40878531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

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, 52107 + ... + 73706.

It is an arithmetic number, because the mean of its divisors is an integer number (40302418).

Almost surely, 2^1358780400 is an apocalyptic number.

1358780400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1358780400 is an abundant number, since it is smaller than the sum of its proper divisors (3477509760).

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

1358780400 is a wasteful number, since it uses less digits than its factorization.

1358780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125840 (or 125823 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1358780400 is about 36861.6385962426. The cubic root of 1358780400 is about 1107.6003676361.

The spelling of 1358780400 in words is "one billion, three hundred fifty-eight million, seven hundred eighty thousand, four hundred".