1506380400 has 540 divisors, whose sum is σ = 6300669648. Its totient is φ = 326430720.

The previous prime is 1506380341. The next prime is 1506380413. The reversal of 1506380400 is 40836051.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13330744 + ... + 13330856.

Almost surely, 2^1506380400 is an apocalyptic number.

1506380400 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 1506380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150334824).

1506380400 is an abundant number, since it is smaller than the sum of its proper divisors (4794289248).

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

1506380400 is a wasteful number, since it uses less digits than its factorization.

1506380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1506380400 is about 38812.1166647736. The cubic root of 1506380400 is about 1146.3349988719.

The spelling of 1506380400 in words is "one billion, five hundred six million, three hundred eighty thousand, four hundred".