1501478400 has 240 divisors, whose sum is σ = 5049217008. Its totient is φ = 393216000.

The previous prime is 1501478359. The next prime is 1501478411. The reversal of 1501478400 is 48741051.

1501478400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2342080 + ... + 2342720.

Almost surely, 2^1501478400 is an apocalyptic number.

1501478400 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 1501478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524608504).

1501478400 is an abundant number, since it is smaller than the sum of its proper divisors (3547738608).

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

1501478400 is an equidigital number, since it uses as much as digits as its factorization.

1501478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1501478400 is about 38748.9148235147. The cubic root of 1501478400 is about 1145.0901958530.

The spelling of 1501478400 in words is "one billion, five hundred one million, four hundred seventy-eight thousand, four hundred".